{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import fetch_openml, make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import LabelBinarizer\n",
    "from sklearn.metrics import accuracy_score\n",
    "\n",
    "from prml import nn\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1 Feed-forward Network Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(func, n=50):\n",
    "    x = np.linspace(-1, 1, n)[:, None]\n",
    "    return x, func(x)\n",
    "\n",
    "def sinusoidal(x):\n",
    "    return np.sin(np.pi * x)\n",
    "\n",
    "def heaviside(x):\n",
    "    return 0.5 * (np.sign(x) + 1)\n",
    "\n",
    "func_list = [np.square, sinusoidal, np.abs, heaviside]\n",
    "plt.figure(figsize=(20, 10))\n",
    "x = np.linspace(-1, 1, 1000)[:, None]\n",
    "for i, func, n_iter in zip(range(1, 5), func_list, [1000, 10000, 10000, 10000]):\n",
    "    plt.subplot(2, 2, i)\n",
    "    x_train, y_train = create_toy_data(func)\n",
    "    model = RegressionNetwork(1, 3, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for _ in range(n_iter):\n",
    "        model.clear()\n",
    "        loss = nn.square(y_train - model(x_train)).sum()\n",
    "        optimizer.minimize(loss)\n",
    "    y = model(x).value\n",
    "    plt.scatter(x_train, y_train, s=10)\n",
    "    plt.plot(x, y, color=\"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3 Error Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ClassificationNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data():\n",
    "    x = np.random.uniform(-1., 1., size=(100, 2))\n",
    "    labels = np.prod(x, axis=1) > 0\n",
    "    return x, labels.reshape(-1, 1)\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "model = ClassificationNetwork(2, 4, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "history = []\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    logit = model(x_train)\n",
    "    log_likelihood = -nn.loss.sigmoid_cross_entropy(logit, y_train).sum()\n",
    "    optimizer.maximize(log_likelihood)\n",
    "    history.append(log_likelihood.value)\n",
    "    \n",
    "plt.plot(history)\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"Log Likelihood\")\n",
    "plt.show()\n",
    "    \n",
    "x0, x1 = np.meshgrid(np.linspace(-1, 1, 100), np.linspace(-1, 1, 100))\n",
    "x = np.array([x0, x1]).reshape(2, -1).T\n",
    "y = nn.sigmoid(model(x)).value.reshape(100, 100)\n",
    "\n",
    "levels = np.linspace(0, 1, 11)\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel())\n",
    "plt.contourf(x0, x1, y, levels, alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(-1, 1)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.5 Regularization in Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(n=10):\n",
    "    x = np.linspace(0, 1, n)[:, None]\n",
    "    return x, np.sin(2 * np.pi * x) + np.random.normal(scale=0.25, size=(10, 1))\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "x = np.linspace(0, 1, 100)[:, None]\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, m in enumerate([1, 3, 30]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    model = RegressionNetwork(1, m, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for j in range(10000):\n",
    "        model.clear()\n",
    "        y = model(x_train)\n",
    "        optimizer.minimize(nn.square(y - y_train).sum())\n",
    "        if j % 1000 == 0:\n",
    "            optimizer.learning_rate *= 0.9\n",
    "    y = model(x)\n",
    "    plt.scatter(x_train.ravel(), y_train.ravel(), marker=\"x\", color=\"k\")\n",
    "    plt.plot(x.ravel(), y.value.ravel(), color=\"k\")\n",
    "    plt.annotate(\"M={}\".format(m), (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegularizedRegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2\n",
    "    \n",
    "    def log_prior(self):\n",
    "        logp = 0\n",
    "        for param in self.parameter.values():\n",
    "            logp += self.prior.log_pdf(param)\n",
    "        return logp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RegularizedRegressionNetwork(1, 30, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    pred = model(x_train)\n",
    "    log_posterior = -nn.square(pred - y_train).sum() + model.log_prior()\n",
    "    optimizer.maximize(log_posterior)\n",
    "    if i % 1000 == 0:\n",
    "        optimizer.learning_rate *= 0.9\n",
    "y = model(x).value\n",
    "plt.scatter(x_train, y_train, marker=\"x\", color=\"k\")\n",
    "plt.plot(x, y, color=\"k\")\n",
    "plt.annotate(\"M=30\", (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_mnist():\n",
    "    x, label = fetch_openml(\"mnist_784\", return_X_y=True)\n",
    "    x = x / np.max(x, axis=1, keepdims=True)\n",
    "    x = x.reshape(-1, 28, 28, 1)\n",
    "    label = label.astype(np.int)\n",
    "\n",
    "    x_train, x_test, label_train, label_test = train_test_split(x, label, test_size=0.1)\n",
    "    y_train = LabelBinarizer().fit_transform(label_train)\n",
    "    return x_train, x_test, y_train, label_test\n",
    "x_train, x_test, y_train, label_test = load_mnist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0000, accuracy 0.18, Log Likelihood -4709.11\n",
      "step 0100, accuracy 0.54, Log Likelihood -356.599\n",
      "step 0200, accuracy 0.66, Log Likelihood -276.867\n",
      "step 0300, accuracy 0.64, Log Likelihood -302.828\n",
      "step 0400, accuracy 0.78, Log Likelihood -67.9681\n",
      "step 0500, accuracy 0.80, Log Likelihood -92.4484\n",
      "step 0600, accuracy 0.80, Log Likelihood -109.234\n",
      "step 0700, accuracy 0.86, Log Likelihood -55.6625\n",
      "step 0800, accuracy 0.84, Log Likelihood -82.346\n",
      "step 0900, accuracy 0.90, Log Likelihood -13.2661\n"
     ]
    }
   ],
   "source": [
    "class ConvolutionalNeuralNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.conv1 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 1, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b1 = nn.array([0.1] * 20)\n",
    "            self.conv2 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 20, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b2 = nn.array([0.1] * 20)\n",
    "            self.w3 = nn.random.truncnormal(-2, 2, 1, (4 * 4 * 20, 100))\n",
    "            self.b3 = nn.array([0.1] * 100)\n",
    "            self.w4 = nn.random.truncnormal(-2, 2, 1, (100, 10))\n",
    "            self.b4 = nn.array([0.1] * 10)\n",
    "        \n",
    "    def __call__(self, x):\n",
    "        h = nn.relu(self.conv1(x) + self.b1)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))        \n",
    "        h = nn.relu(self.conv2(h) + self.b2)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))\n",
    "        h = h.reshape(-1, 4 * 4 * 20)\n",
    "        h = nn.relu(h @ self.w3 + self.b3)\n",
    "        return h @ self.w4 + self.b4\n",
    "\n",
    "model = ConvolutionalNeuralNetwork()\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "\n",
    "while True:\n",
    "    indices = np.random.permutation(len(x_train))\n",
    "    for index in range(0, len(x_train), 50):\n",
    "        model.clear()\n",
    "        x_batch = x_train[indices[index: index + 50]]\n",
    "        y_batch = y_train[indices[index: index + 50]]\n",
    "        logit = model(x_batch)\n",
    "        log_likelihood = -nn.loss.softmax_cross_entropy(logit, y_batch).mean(0).sum()\n",
    "        if optimizer.iter_count % 100 == 0:\n",
    "            accuracy = accuracy_score(\n",
    "                np.argmax(y_batch, axis=-1), np.argmax(logit.value, axis=-1)\n",
    "            )\n",
    "            print(\"step {:04d}\".format(optimizer.iter_count), end=\", \")\n",
    "            print(\"accuracy {:.2f}\".format(accuracy), end=\", \")\n",
    "            print(\"Log Likelihood {:g}\".format(log_likelihood.value[0]))\n",
    "        optimizer.maximize(log_likelihood)\n",
    "        if optimizer.iter_count == 1000:\n",
    "            break\n",
    "    else:\n",
    "        continue\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy (test): 0.8595714285714285\n"
     ]
    }
   ],
   "source": [
    "print(\"accuracy (test):\", accuracy_score(np.argmax(model(x_test).value, axis=-1), label_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.6 Mixture Density Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_toy_data(func, n=300):\n",
    "    t = np.random.uniform(size=(n, 1))\n",
    "    x = func(t) + np.random.uniform(-0.05, 0.05, size=(n, 1))\n",
    "    return x, t\n",
    "\n",
    "def func(x):\n",
    "        return x + 0.3 * np.sin(2 * np.pi * x)\n",
    "\n",
    "def sample(x, t, n=None):\n",
    "    assert len(x) == len(t)\n",
    "    N = len(x)\n",
    "    if n is None:\n",
    "        n = N\n",
    "    indices = np.random.choice(N, n, replace=False)\n",
    "    return x[indices], t[indices]\n",
    "\n",
    "x_train, y_train = create_toy_data(func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MixtureDensityNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_components):\n",
    "        self.n_components = n_components\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2c = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2c = nn.zeros(n_components)\n",
    "            self.w2m = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2m = nn.zeros(n_components)\n",
    "            self.w2s = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2s = nn.zeros(n_components)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        coef = nn.softmax(h @ self.w2c + self.b2c)\n",
    "        mean = h @ self.w2m + self.b2m\n",
    "        std = nn.exp(h @ self.w2s + self.b2s)\n",
    "        return coef, mean, std\n",
    "    \n",
    "def gaussian_mixture_pdf(x, coef, mu, std):\n",
    "    gauss = (\n",
    "        nn.exp(-0.5 * nn.square((x - mu) / std))\n",
    "        / std / np.sqrt(2 * np.pi)\n",
    "    )\n",
    "    return (coef * gauss).sum(axis=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model = MixtureDensityNetwork(1, 5, 3)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-4)\n",
    "\n",
    "for i in range(30000):\n",
    "    model.clear()\n",
    "    coef, mean, std = model(x_train)\n",
    "    log_likelihood = nn.log(gaussian_mixture_pdf(y_train, coef, mean, std)).sum()\n",
    "    optimizer.maximize(log_likelihood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vXyhSxM02WLnSd0IRkRC3Ywc89pibl3v33W4lrw8+gG3b4M03oWxZ3wlFwkqba9sws8NMftn3C9WGVmP9rvW+I4mIiIQkFYE8ioqCVq1g7lz46Se4/37Xa/TGG6FGDVcg0lQxEZEUtGGDK/oULw4DB7rlG5cuhTVr4K67IHNm3wlFwtbNV93M4rjFHEk4QvVh1Vm5XXfFREREUpqKQAGiVCl47TXYuhXeeMPdpL79dvf6e++5ZehFROQSffMNtG7thl6OHAl33umq7xMmuKq7lqcWCQgV81fk8zs+J0fGHNT9sC5zfp7jO5KIiEhIUREowGTP7vqRbtjgRgLlzQs9erib1q+8An/+6TuhiEgQ+eEHaNsWypVz/X6eeAK2bHENn0uU8J1ORM6h5BUlWdZ1GSWvKEmzsc34aN1HviOJiIiEDBWBAlRkpJsq9sUXsGABXHcdPPqoW1Xs2Wdh/37fCUVEAtjPP0Pnzu7Lc8YM6N3bNWLr189V10UkoOXPlp9FcYuoWrgq7Se3Z9DKQb4jiYiIhAQVgQKcMVCnjusbtGKFW7zmmWfcyKD+/d3CNiIikmjPHnjwQfjXv9yy7r16webNrht/rly+04nIRciZMSezOsyi5b9acv/M++m7sC/WWt+xREREgpqKQEGkShX45BOIj4eqVd2shuLF4fXX1TNIRMLciRPw1luukdrbb0PXrm400MsvQ548vtOJyCXKFJWJia0ncmeFO3l+yfP0+KwHJ09p1QwREZFLpSJQELrhBvjsMzdVrGxZePhh1+t0zBg4dcp3OhGRNDZzJlx/vWuoVrGiW+lryBDIn993MhFJAeki0vFB8w94rPpjDF49mPZT2nP85HHfsURERIKSikBBrGpVmDcP5s+H3LmhY0eoXBkWLfKdTEQkDezY4Vb8atIErIXp013z57JlfScTkRRmjKF/vf4MrD+QCd9NoNnYZhw8ftB3LBERkaCjIlAIqFvXTREbNQp27nQ9hFq0cCuMiYiEnJMnYdAg1/fn00/hhRfg22+hWTMt9S4S4npV68XwlsNZsHkBN4+8mV2Hd/mOJCIiElRUBAoRERFuJND69a5h9KJFblGcp55S82gRCSHffuuGQd5/v3tct8590aVP7zuZiKSRuPJxTGk7hbX/t5aY4TFsO7DNdyQREZGgoSJQiMmUCR57zBWD2rWDF190N8vHj3ezJUREgtLJkzBgAFSqBFu2wLhxMGsWlCjhO5mIeNCidAtmd5zNtgPbqD6sOj/t/sl3JBERkaCgIlCIyp8fPvwQli1zC+O0awf16mmKmIgEoQ0boGZNePxxN9f1u+/cl5qmfomEtVrFarEobhFHThyhxrAarPltje9IIiIiAU9FoBBXvbrrF/TOO+6xbFl46SW3mrKISECz1n15lSsHP/4IY8fChAla8l1E/qdi/oosu2MZmaIyUfvD2izZssR3JBERkYCmIlAYiIyEHj3ghx+gaVN48km3zPyKFb6TiYj8g717oVUr6NkTatVyvX9iYzX6R0T+5urcV7Os6zIKZCtAw9ENmb5+uu9IIiIiAUtFoDBSoABMmgRTp8KePa6n6sMPw5EjvpOJiCSxYgVUqOBW/nrtNZgxw32BiYj8g8I5CrO061Kuu/I6bh1/K2O+GeM7koiISEBSESgMtWjhRgXdey+8/rq71tKoIBHxzlpX9KlRwz1ftgweekijf0QkWfJkzsP8zvOpWbQmHT/uyDsr3/EdSUREJOCoCBSmsmVzrTbmzoXDh6FaNTdN7Ngx38lEJCwdPAi33Qa9ekGzZrBmDdx4o+9UIl4ZY4YZY/4wxqz7h/0djDHfGGO+NcZ8YYwpl9YZA032DNmZ2WEmLUq3oOfMnjy/+HmslkcVERH5HxWBwly9evDttxAX5xpGV67sWm+IiKSZzZtdJXrqVHj1VZgyBXLl8p1KJBCMABqdZ/9moJa19nrgeWBIWoQKdBnTZWRym8l0LteZvov68vDshzllT/mOJSIiEhBUBBJy5IChQ137jd9/h0qV3Cgh3TgTkVS3cKGrPm/dCjNnukZlmv4lAoC1dgmw5zz7v7DW7k18+iVQKE2CBYF0EekY3nI4/67yb95Y8QZ3TruThFMJvmOJiIh4pyKQ/E/TpvDNN1C3rluQp0UL2LnTdyoRCUmnl3+vXx+uvBJWroQGDXynEglmdwIz/2mnMeZuY0y8MSZ+Z5j8co8wEbzR6A2ervU0I74eQdtJbTmWoHnvIiIS3lQEkr/Imxc++wzeeAPmzIGyZWHePN+pRCSknDrlGj737AmNG8OXX0KpUr5TiQQtY0wdXBHosX86xlo7xFpbyVpbKTo6Ou3CeWaM4Znaz/BGwzeY8sMUmo9rzqHjh3zHEhER8UZFIPkbY+CBB9yN+Vy53M35555z120iIpfl6FFo1w7efNN90XzyCWTP7juVSNAyxpQF/gu0tNbu9p0nUD1w0wMMbzmc+ZvnU39UffYe2Xvh/0hERCQEqQgk/6hcOVi1Cjp0gKefhiZNYNcu36lEJGjt2weNGsHEiTBwoBtyGBnpO5VI0DLGFAGmAJ2stT/5zhPo4srHMbH1RFb/tpraH9bm94O/+44kIiKS5lQEkvPKkgVGjoT333f9WytUgOXLfacSkaCzbRvUrAlffAFjx7ql4EXkvIwx44DlQGljzDZjzJ3GmHuMMfckHtIXyA28a4z52hgT7y1skGh1TSs+jf2UjXs2UnN4Tbbs2+I7koiISJpSEUguyBi4+25X/ImKgpgYrR4mIhdh40aoXh22bIFZsyA21ncikaBgrY211ua31kZZawtZa4daawdbawcn7r/LWpvLWls+cavkO3MwqF+iPnM7zeWPQ39Qc3hN1u9a7zuSiIhImlERSJKtYkX46is3m6NnT+jWDY5pkQ0ROZ8ff3SV48OHYfFit/ygiIhn1QpXY1HcIo4mHKXm8Jp8/X9f+44kIiKSJlQEkouSMydMnQpPPQVDh0KdOvDbb75TiUhAWrcOatVyXeUXLXLzSUVEAkT5fOVZ2nUpGdJloPaI2nyx9QvfkURERFKdikBy0SIi4IUXYMIEWLsWKlWCFSt8pxKRgLJmDdSuDenSuRFA117rO5GIyN+UzlOaZV2XEZ0lmvqj6jNv0zzfkURERFKVikByyVq3dj1e06d3N/vHjfOdSEQCQny8m/aVObMrAJUu7TuRiMg/KpqzKEu7LqVErhI0HduUqT9O9R1JREQk1agIJJfl9DLylStD+/ZuhJAaRouEsW+/hQYN3NzRJUugZEnfiURELihf1nwsiltEhXwVuG3CbYz+ZrTvSCIiIqlCRSC5bHnywLx50LEj9OkDcXFqGC0SljZsgPr1IVMmWLAAihXznUhEJNmuyHQFczvNJaZoDJ0/7szg+MG+I4mIiKQ4FYEkRWTIACNHwrPPuscGDWDPHt+pRCTN/Por1KsHJ0+6qnDx4r4TiYhctGwZsjGjwwyaXd2Mez+7l1c+f8V3JBERkRSlIpCkGGOgb18YMwa+/BKqVYMtW3ynEpFU9/vvrgC0fz/MmQPXXOM7kYjIJcuYLiOT20ym3XXteHTeo/RZ0Aerue4iIhIi0vkOIKGnfXsoXBhatICqVWHWLChb1ncqEUkVe/e6oX/bt7sCkJaBF5EQEBUZxehbR5M1KisvLH2BA8cO8Hqj14kwun8qIiLBTb/JJFXUrAlLl7rl5GNi3AJBIhJijh2DVq3ghx/gk0+genXfiUREUkxkRCRDmg/hoZse4q2Vb9FtWjdOnjrpO5aIiMhlURFIUs1117kl5AsUgIYNYfJk34lEJMVYC3feCYsWwfDhriG0iEiIMcbwaoNXebrW0wz7ehixk2M5fvK471giIiKXTEUgSVVFisCyZXDDDdC6NQwZ4juRiKSIPn1cA7B+/aBDB99pRERSjTGGZ2o/w8D6A5n4/URajW/FkRNHfMcSERG5JCoCSaq74gq3WFCTJtC9Owwc6DuRiFyW//7XFX/uugueeMJ3GhGRNNGrWi8GNx3MjA0zaDq2KQePH/QdSURE5KKpCCRpIlMmmDIF2rSBRx5xq4hpoQ2RIDRrFtxzDzRqBO++65YFFBEJE90rdWfkrSNZsmUJ9UfVZ++Rvb4jiYiIXBStDiZpJn16GDsWsmWD55+HAwfgtddc82gRCQI//OAquddfDxMmQFSU70QiImmuY9mOZInKQttJbak7si6zO87myixX+o4lIiKSLLr8ljQVGQkffAAPPghvvgndusFJLbQhEvj27YOWLd2wvmnTXDVXRCRM3XrNrUyPnc76XeupNaIW2w9s9x1JREQkWVQEkjRnjBsB1LcvDBsGXbuqECQS0E6ehPbt4Zdf3DJ/hQv7TiQi4l3Dkg2Z1XEW2w9sp+bwmmzeu9l3JBERkQtSEUi8MAaefdZNCxs1Crp0USFIJGD17g0zZ8Lbb0ONGr7TiIgEjJiiMczvPJ99R/dRc3hNftz1o+9IIiIi55WsIpAxppExZr0xZqMx5vFz7C9ijFlojFljjPnGGNMk5aNKKOrd2y0yNGYMdO4MCQm+E4nIX4wfD/37u6X9unf3nUZEJOBULliZxXGLSTiVQMzwGNb+31rfkURERP7RBYtAxphI4B2gMVAGiDXGlDnrsN7ABGttBaAd8G5KB5XQ9eST8NJLrml0p04qBIkEjLVr3XzN6tXhrbd8pxERCVjX572eJV2XkDFdRmp/WJsV21b4jiQiInJOyRkJVAXYaK3dZK09DnwEtDzrGAtkT/w5B7Aj5SJKOHj8cXj5ZfjoI+jYUVPDRLw7cABuuw2uuAImTXLL+4mIyD+6OvfVLO26lNyZclNvVD0W/7LYdyQREZG/SU4RqCCwNcnzbYmvJfUM0NEYsw2YAdyfIukkrDzyiCsEjR8Pd9wBp075TiQSpqx1S/f98ourzObL5zuRiEhQKJqzKEu6LqFIjiI0GtOIWRtn+Y4kIiLyFynVGDoWGGGtLQQ0AUYZY/723saYu40x8caY+J07d6bQR0soeeQReO45GDkS7r3XXYuKSBobPBgmTHANu9QIWkTkohTIVoBFXRZxTZ5raDGuBR//8LHvSCIiIv+TnCLQdiDpesCFEl9L6k5gAoC1djmQEchz9htZa4dYaytZaytFR0dfWmIJeb17uz5BQ4bAgw+qECSSptascf/wGjd2VVkREblo0VmiWdBlAZUKVKL1xNaM/ma070giIiJA8opAq4BSxpjixpj0uMbP08465lfgZgBjzDW4IpCG+sglMQZeeAEeesj1on38cRWCRNLEgQPQujVER7vheBEpNVhURCT85MyYkzmd5hBTNIbOH3dmyOohviOJiIiQ7kIHWGsTjDE9gdlAJDDMWvudMeY5IN5aOw3oBXxgjHkI1yQ6zlpdtsulMwZefRWOHnV9grJmhT59fKcSCWHWwt13uz5AixZBnr8N5hQRkYuUNX1WPmv/GbdPvJ3un3bn0PFDPFT1Id+xREQkjF2wCARgrZ2Ba/ic9LW+SX7+HqiestEk3BkDgwbBoUPQt69bpOi++3ynEglRw4a5ruwvvaQ+QCIiKShTVCY+bvsx7Se35+E5D3PoxCGeqvkUxhjf0UREJAwlqwgk4ktEBAwdCvv2Qc+ekCsXtG/vO5VIiPn5Z3jgAahbFx591HcaEZGQkz4yPR/d/hF3TL2DPgv7cPD4QV66+SUVgkREJM2pCCQBL106N0ChcWPo0gVy5ICmTX2nEgkRCQnQqRNERcGIEeoDJCKSStJFpGPELSPIEpWFAZ8P4PCJw7zR6A0i/r6groiISKpREUiCQsaMMHWqG6hw++0wZw7UrOk7lUgI6N8fli+HsWOhcOELHy8iIpcswkTwbtN3yRyVmde+fI1Dxw8xpPkQIiMifUcTEZEwoSKQBI3s2WHmTFf8adYMli2D66/3nUokiMXHw7PPQmys20REJNUZYxjYYCBZ02fluSXPcSThCB/e8iFRkVG+o4mISBjQ+FMJKtHRMHcuZMsGjRrBr7/6TiQSpA4fho4dIV8+eOcd32lERMKKMYZn6zzLgHoDGLduHK0ntuZYwjHfsUREJAyoCCRBp3BhNyLo0CFXCNqzx3cikSD06KOwfj18+EZ/QpwAACAASURBVKHruC4iImnu0eqPMqjxIKaun0qLj1pw+MRh35FERCTEqQgkQen66+GTT9yiRi1bwpEjvhOJBJGFC93on4ceco22RETEm/uq3MfwlsOZt2kejUY34sCxA74jiYhICFMRSIJW7dowahR8/jl06AAnT/pOJBIEDh2Cu+6CkiXhhRd8pxERESCufBxjW41l+bbl1B9Vnz1HNMxZRERSh4pAEtTatIHXX4ePP4YHHwRrfScSCXB9+sCmTfDf/0LmzL7TiIhIorbXtWVym8l8/X9fU/fDuvxx6A/fkUREJASpCCRB74EHoFcvGDQI3nzTdxqRALZ8ObzxBvToAbVq+U4jIiJnaVG6BZ/GfspPu3+i1ohabD+w3XckEREJMSoCSUh4+WVo1Qoeftj1ChKRsxw9Cnfe6Tqr9+/vO42IiPyD+iXqM7vjbLYf2E7N4TXZvHez70giIhJCVASSkBAR4foDVa4M7dtDfLzvRCIB5vnn4YcfYMgQyJbNdxoRETmPmkVrMq/zPPYd3UfMiBjW71rvO5KIiIQIFYEkZGTODNOmQd680KwZbNniO5FIgPjqKxgwAOLioGFD32lERCQZqhSswqK4RRw/eZyYETF8+/u3viOJiEgIUBFIQkrevPDZZ27mS9OmsH+/70Qinp08CXffDdHR8NprvtOIiMhFKJu3LIvjFpMuIh21P6xN/A4NdRYRkcujIpCEnDJlYMoUWL8e2raFhATfiUQ8eu89WL3aLaOXK5fvNCJyEYwxw4wxfxhj1v3DfmOMecsYs9EY840xpmJaZ5TU9688/2Jp16Vkz5Cdm0fezLJfl/mOJCIiQUxFIAlJdeu6a9/Zs+E///GdRsST336Dp56C+vVdRVREgs0IoNF59jcGSiVudwPvpUEm8eCqXFextOtS8mXNR8PRDZm3aZ7vSCIicin27oVFi9yKve+/7yVCOi+fKpIG7roLvvvO/fsqU8bNiBEJK716wbFj8M47YIzvNCJykay1S4wxxc5zSEtgpLXWAl8aY3IaY/Jba39Lk4CSpgplL8SSuCXUH1WfZmObMbH1RJqXbu47loiInIu18Msv8PXXf91+/fXMMbVqQffuaR5NRSAJaa+84qaF3XcflCoFder4TiSSRubOhXHj4Jln3F9+EQlFBYGtSZ5vS3ztb0UgY8zduNFCFClSJE3CScrLmzUvC7sspNGYRrSa0IoxrcbQ5to2vmOJiIS3Y8fc6IOkxZ61a+HAAbc/IgKuvhqqVYMePaB8eShXDvLl8xJXRSAJaenSuevgatXgtttg5UooWdJ3KpFUdvSoq3yWLAmPPeY7jYgEAGvtEGAIQKVKlaznOHIZcmfOzbxO82g2rhmxk2M5fOIwceXjfMcSEQkPu3efKfKcLvj88MOZRrRZskDZstChgyv2lC8P113nlrIOECoCScjLkQOmT4cqVaB5c/jyS/eaSMgaMAA2bIA5cyBjRt9pRCT1bAcKJ3leKPE1CXE5MuZgVodZ3DL+FrpO7crhE4fpUbmH71giIqHj1CnYvPnv07m2bTtzTMGCrsjTvPmZgk+JEm7kTwBTEUjCwlVXweTJUK+eK8pOnQqRkb5TiaSCn3+Gl16C2FjXEFpEQtk0oKcx5iPgRmC/+gGFjyzpszA9djptJrbhvhn3cfjEYf5TTathiIhctKNHYd26vxZ7vvkG/vzT7Y+MhGuucT18ypWDChXcY3S039yXSEUgCRu1asGbb7pZMn37Qr9+vhOJpIKHH4aoKHj1Vd9JROQyGWPGAbWBPMaYbcDTQBSAtXYwMANoAmwEDgNd/SQVXzKmy8jkNpPp9HEnHpn7CAePH+TpWk9jtBiAiMi57dp1ZirXmjXu8ccf4eRJtz9rVjeip0uXMwWfa68NqdH1KgJJWLn3Xvfv/MUX3b/pNuqlKKFkzhyYNg3694f8+X2nEZHLZK2NvcB+C9yXRnEkQEVFRjGm1RgyRWXi2cXPcuj4IV6u/7IKQSIS3i5mOtctt5wZ3XPVVQE/netyqQgkYcUYGDTINW/v2hVKl3b/1kWC3okT8OCDrhn0gw/6TiMiImkoMiKSoS2GkiUqCwOXD+TQiUMMajKICBPaFzIiIoBbnev77/86uufs1blOT+c63bsniKdzXS4VgSTspE/v+gNVqgQtW0J8POTJ4zuVyGV69123MsG0aZAhg+80IiKSxiJMBG83fpssUVl4+YuXOXTiEENbDCVdhE73RSSE7NvnCjyniz1r1rgC0Nmrc3Xs6Io9p6dzZcrkN3cA0W8FCUv58sEnn0CNGm5K2Jw5bjl5kaC0cyc8/TQ0aADNmvlOIyIinhhj6F+vP9kyZKPPwj4cPnGYMa3GkD4yve9oIiIXx1rYscMVeZIWfDZvPnNM3ryu0NOkiSv2lC/vRsWH+HSuy6XLXglblSrB++9DXBw8+SS8/LLvRCKXqHdvOHQI3njDzXkUEZGwZYyhd0xvskRl4eE5D3P4xGEmtZ5EpijdBReRAHXqFGzYcKbgc7ros3PnmWNKloQbboC77nIFnwoV3J19uWgqAklY69IFVq6EV16BypWhdWvfiUQu0po18MEH8MADbq6ziIgI8FDVh8iSPgv3fHoPTcc2ZVrsNLKmz+o7loiEu+PH3fStNWvgq6/c49q1cPCg2x8V5aZvNWt2pthTtixkz+43dwhREUjC3uuvu++erl2hTBn3nSMSFKx1TaBz53bTwURERJK4+4a7yRyVmbhP4mgwqgEzOswgZ8acvmOJSLg4fPhM/57TBZ9161whCFz/nvLl3dSM0wWfa691TVwl1agIJGEvfXqYNAkqVoRWrdzIoBw5fKcSSYapU2HJEnjvPcipk3oREfm7jmU7kiUqC20ntaXOh3WY03EO0VnCc0UcEUlF+/e7KVxffXVm+/FHN9UL3E3LChXcDczTBZ9SpdS/xwNjrfXywZUqVbLx8fFePlvkXJYuhbp1oWlTmDJF30cS4E6cgOuuc39Rv/1Wnc0lIBljVltrK/nOIX+lc7DwNGvjLG4dfyvFcxZnbqe5FMxe0HckEQlWe/acKfSsXu0eN248s79gQXeHvUKFM4+FC6t3ZRo63zmYrhpEEtWsCa++6lqrDBgATzzhO5HIeXzwAfz0k1sSXgUgERG5gEYlGzGrwyyajWtGzIgY5neeT7GcxXzHEpFAt3u3K/Qk3X755cz+YsVcoScuzjVurlDBrdolAUsjgUSSsBbat4cJE2DePKhTx3cikXM4cMCtkFCmDCxcqLsqErA0Eigw6RwsvK3cvpKGoxuSJSoL8zvPp3Se0r4jiUigSFrwiY93j1u2nNl/1VWu0HN6q1DBTfOSgKORQCLJZIwbYLF2LbRr53qXFSjgO5XIWQYMcEtmDhyoApCIiFyUKgWrsDhuMfVH1SdmRAxzO82lbN6yvmOJSFrbt+9Msef0lnSET4kScOON0KOHK/hUrAi5cnmLKylHRSCRs2TN6hpFV6kCbdvCggVupUKRgLBtG7z2GsTGQiUNsBARkYtXNm9ZlsQtod6oetQeUZtZHWdRpWAV37FEJLUcOuTubq9a5bb4eNiw4cz+4sXdeeU997hHFXxCmopAIudQpowbEdS+vesNNHCg70Qiifr0cassvPii7yQiIhLESucpzdKuS7l55M3cPPJmPo39lFrFavmOJSKX6/hxt2jI6YLPypXw/fdnVukqVMgVeuLi3OMNN2hKV5hREUjkH8TGwuefu2bR1aq55eNFvFq7Fj78EHr1ck34RERELkOxnMVY2nUp9UfVp9GYRkxpM4XGpRr7jiUiyWWtW5Vr5coz25o1cOyY258nD1Su7C5kKld2RZ98+fxmFu/UGFrkPI4dg5gY+PFHt/JhiRK+E0lYa9IEvvwSfv5ZQ3QlKKgxdGDSOZicbdfhXTQc3ZBvf/+WsbeN5fYyt/uOJCLnsmsXrFhxZlu1CvbudfsyZ3ZFnsqVXV+LypXdTUP1jwxLagwtcokyZHArhVWoAG3auJFBGTP6TiVhaelSmDnTNYVWAUhERFJQnsx5WNB5AU3HNqXtpLYMazGMLuW7+I4lEt6OH4evv3bFni+/dNumTW5fRARcdx3cdptr3lyliutnkU6X93Jh+lsicgFFi7oZOC1awH/+A4MG+U4kYcda15wqf37o2dN3GhERCUE5MuZgdsfZ3DL+FuKmxnHw+EHuq3Kf71gi4WPbNli+3BV7li930xBOT+sqUMAVe7p3d4833OBWsxG5BCoCiSRD8+auDcurr7rpYW3a+E4kYWXGDDcM7b333FBfERGRVJAlfRamx06n3aR29JzZkz+P/8njNR73HUsk9Bw/7nr3LF8OX3zhtu3b3b4MGdy0rp494aab3FaokN+8ElJUBBJJppdectfhd93lVk0sWdJ3IgkLp07BU0+5hlR33uk7jYiIhLiM6TIysfVE4qbG8cT8Jzhw7AD96vbDqK+IyKXbtcsVej7/3D3Gx8PRo25f0aJQsyZUreq2cuUgfXq/eSWkqQgkkkxRUTB+vOsP1Lq1K9yrP5CkuvHj3apgY8a4v4QiIiKpLCoyipG3jCRLVBZeWvYSB44d4K3GbxFhInxHEwl8p1fsWrbMbZ9/DuvXu31RUe5uco8eZ4o+BQv6zSthR0UgkYtQpIjrD9S8OTz8MLz7ru9EEtJOnIC+faFsWWjXzncaEREJI5ERkbzf7H2yZ8jOq8tf5c/jfzK0xVDSRejyQeQvEhJcA+elS88Ufv74w+274gqoVg3i4qB6dTfNK1Mmr3FF9C0ucpGaNXMNogcOhJtvdk35RVLF8OHuTtL06W4VCBERkTRkjOGV+q+QI0MO+i7qy8HjBxnbaiwZ0mXwHU3En6NHYeVKWLLEbcuXw8GDbl/x4tCoEdSo4bbSpXUOJwFHRSCRS9Cvn/vOv/NO15y/WDHfiSTkHDkCzz3n7h41beo7jYiIhCljDH1q9SFbhmw8NPshWnzUgo/bfkzmKC1UIGHi0CFX6Fm82F0ArFjhVu0yxi3T3rmzWzmmRg1N7ZKgoCKQyCVInx7GjXP9gWJj3e8DtWuRFPX++26ViNGj3UmGiIiIRw/e9CDZM2Sn2/RuNBzdkE9jPyVHxhy+Y4mkvEOHXPPmRYvctmqVm6IfGen6+fTsCbVquaJPrly+04pcNBWBRC7RVVfBf//rlovv3RsGDPCdSELG4cPQvz/UrQu1a/tOIyIiAsAdFe4gW/psdJjSgboj6zKrwyyis0T7jiVyeY4edSN9FiyAhQvdVK/TRZ9KlVwj0Nq13ejs7Nl9pxW5bCoCiVyG1q2he3d4+WWoU8dNARa5bO+9B7//DpMm+U4iIiLyF62vbU3W9FlpNaEVMSNimNdpHgWzawqMBJGEBLdE+4IFMH++W73r2DHXu+eGG+Chh9yJffXqkC2b77QiKc5Ya718cKVKlWx8fLyXzxZJSUeOQJUq7pp97VrIn993IglqBw+6YWbly8OcOb7TiFwWY8xqa20l3znkr3QOJilhyZYlNBvbjNyZczOv0zxKXFHCdySRc7PWLdE+dy7Mm+emeB044PaVK+dGXtetCzVrQg5NcZTQcL5zMI0EErlMmTLB+PFutGjnzjB7thYBkMvwzjuwcyc8+6zvJCIiIv8opmgMC7sspOHohtQcXpM5neZw3ZXX+Y4l4uzc6Qo+c+a4x23b3OslSkC7dm6J3zp1IFrTGSX86FJVJAWUKQNvvul+xwwc6DuNBK0//4RXXnHzCqtW9Z1GRETkvG4ocANLui7BGEOtEbVYuX2l70gSro4fd/18nnjCTem68kpo3x6mTXPnVEOGwKZNsHGjW3yjTRsVgCRsaSSQSAq56y43Cuipp9yNhcqVfSeSoPP227B7t0YBiYhI0CgTXYZlXZdRb1Q9bh55M9PaTaNO8Tq+Y0k42LQJZs1y24IFblWvdOlcA+d+/aBBA7eUb2Sk76QiAUU9gURS0N69bmpx+vSwZo16yclFOHAAihVzJy6ffuo7jUiKUE+gwKRzMEkNO/7cQYNRDdi4ZyMTW0+keenmviNJqDl2DJYsgRkz3PbTT+71YsWgcWNo2ND19tEJuMh5z8E0HUwkBeXKBWPGwObNcN99vtNIUHnzTVdF1CggEREJQgWyFWBx3GLK5i3LreNvZey3Y31HklCwfbubytWyJVxxhRvd8957bhGNN95wDZ83bYJ333XHqAAkckGaDiaSwmrWhD593LV8w4bQoYPvRBLwDhyA116DFi3cPHYREZEglDtzbuZ3nk+Lj1rQcUpH9h/dz72V7/UdS4LJqVNu+fZPP3XbmjXu9WLFoGtXaNIEateGzJl9phQJaioCiaSC3r1h/ny4917Xi+6qq3wnkoA2aBDs2wd9+/pOIiIiclmyZcjGjPYzaDupLT1m9GDf0X08XuNxjDG+o0mgOnzYnThPmwbTp8Pvv7uldqtXhwEDoFkzuOYa0N8hkRShIpBIKkiXDkaPdv2BOnZ005fT6V+bnMvBg24UUJMmGgUkIiIhIVNUJia3mUzXqV15csGT7D26lwH1BqgQJGfs2uVG+nzyiVvG/cgRyJ7d9fZp3tw9XnGF75QiIUmXpSKppGhRGDwYYmPhhRfgmWd8J5KANHiwWxGsTx/fSURERFJMVGQUI28dSY4MOXjli1fYe2Qvg5sNJjJCKzWFrS1b4OOPXeFn6VI39atwYbjzTtfPJybGra4iIqlKRSCRVNSuHcycCc8/D/Xru1GtIv9z+DC88grUqwc33eQ7jYiISIqKMBEMajKIXJly0W9pP/Yf28+oW0eRIV0G39EkraxfD1OmwOTJsHq1e+366+Gpp+CWW9wS7hohJpKmklUEMsY0At4EIoH/Wmv7n+OYNsAzgAXWWmvbp2BOkaD19tuwbJmbFvb115Ajh+9EEjA++AD++EO9gEREJGQZY3ih7gvkypiL/8z9D/uP7WdKmylkSZ/FdzRJLd99B5MmwcSJ7meAG290/X1atYKSJf3mEwlzFywCGWMigXeA+sA2YJUxZpq19vskx5QCngCqW2v3GmOuTK3AIsEme3bXH6hmTbds/OjRvhNJQDh6FF5+GWrVcn85REREQlivar3IlSkX3aZ3o/6o+nzW/jNyZcrlO5aklHXrXNFn4kT44Qc3uqdmTXjrLTfip3Bh3wlFJFFyRgJVATZaazcBGGM+AloC3yc5phvwjrV2L4C19o+UDioSzKpWdYM9nn7a9bnTsvHCsGGwYweMHOk7iYiISJq4o8Id5MiQg/ZT2lNrRC1md5xN/mz5fceSS/XTTzB+vNu++86t6BUTAz17uhE/+fL5Tigi5xCRjGMKAluTPN+W+FpSVwNXG2M+N8Z8mTh97G+MMXcbY+KNMfE7d+68tMQiQerJJ11PoB49XF88CWPHj0P//q46WLeu7zQiEsCMMY2MMeuNMRuNMY+fY38RY8xCY8waY8w3xpgmPnKKJNdtZW7js/afsWnvJmoMr8GmvZt8R5KLsXWr62dYsSKULu3ucl5xBbzzjru5tXChO9lVAUgkYCWnCJQc6YBSQG0gFvjAGJPz7IOstUOstZWstZWio6NT6KNFgkO6dDBqFFgLnTvDyZO+E4k3I0e6k6i+fdUMUUT+UZIp+Y2BMkCsMabMWYf1BiZYaysA7YB30zalyMWrd1U95neez94je6kxrAbf/v6t70hyPrt3w/vvuynsRYrAo49CVBS89po7n1myxBV+8ub1nVREkiE5RaDtQNJJnIUSX0tqGzDNWnvCWrsZ+AlXFBKRJIoXh0GD3O/KgQN9pxEvEhLcKKAbboCGDX2nEZHA9r8p+dba48DpKflJWSB74s85gB1pmE/kkt1Y6EaWdl2KMYaYETEs37rcdyRJ6uhR19+nZUs3queee9xiFs8/Dxs2wIoV8NBDUKiQ76QicpGSUwRaBZQyxhQ3xqTH3WWadtYxn+BGAWGMyYObHqaxnSLn0KkTtG4NffrAV1/5TiNpbtIk+PlnNz9Qo4BE5PySMyX/GaCjMWYbMAO4/1xvpCn5EoiuvfJaPr/jc/JkzkO9UfWYvXG270jhzVp3p7JbN1f4adMGVq2CBx6ANWvg+++hd2+t7iUS5C5YBLLWJgA9gdnAD7ghx98ZY54zxrRIPGw2sNsY8z2wEHjEWrs7tUKLBDNjYPBgiI52DaIPH/adSNKMtfDSS/Cvf7mVMkRELl8sMMJaWwhoAowyxvzt/E5T8iVQFctZjGVdl3F17qtpPq4549eN9x0p/GzeDM8+CyVKuClf48a5EUBz5rjpXgMHQvnyunklEiKSszoY1toZuLtLSV/rm+RnCzycuInIBVxxBXz4IdSvD489Bm+/7TuRpIkZM+Cbb9z/+REp1ZJNREJYcqbk3wk0ArDWLjfGZATyAFqpVYJG3qx5WdhlIS3GtSB2cix7juzh3sr3+o4V2g4dcqOThw+HxYtdgaduXVcMatUKsmTxnVBEUomuQkQ8qVfPTaUeNAhmzfKdRlKdtdCvHxQtCrGxvtOISHBIzpT8X4GbAYwx1wAZAc33kqCTM2NOZnecTbOrm9FjRg+eX/w87j6zpBhr4csv3XSv/PkhLg62b4cXXoBffoF581zfAhWAREJaskYCiUjqePFFmDsXunaFdesgd27fiSTVLFkCy5e7ql9UlO80IhIErLUJxpjTU/IjgWGnp+QD8dbaaUAv3KqsD+GaRMdZXTlLkMoUlYnJbSZz1/S76LuoL7sO7+L1Rq8T8fcZjnIxdu92K5P+97+ur0/mzK7fz513QvXqmuYlEmZUBBLxKGNGGD0aKleG7t3dIgz6PRyiXnoJrrwS7rjDdxIRCSLJmJL/PVA9rXOJpJaoyCiGtxxO7ky5ef3L19l9ZDfDWw4nKlI3UC6KtbBoEXzwAUyeDMePw003uedt20K2bL4TiognKgKJeFaunBuF+9hjriDUqZPvRJLiVq+G2bPd0vCZMvlOIyIiEtAiTASvNniV6MzRPLngSfYc2cPE1hPJkl7TlC5o927Xe/D99+GnnyBnTnensVs3uP563+lEJABobKVIAOjVC2rWhJ49YcsW32kkxb30EuTIAfeqyaWIiEhyGGN4ouYTDGk2hNk/z6b+qPrsObLHd6zAZC188QV07gwFC7oTy+hoNwVsxw546y0VgETkf1QEEgkAkZHu97S10KULnDrlO5GkmB9/hClT4P77IXt232lERESCSrcbujGx9URW/7aamOExbD9w9gJ5YezwYdfnp0IF19vnk09cn5+1a2HZMje8XCOQReQsKgKJBIhixdyNmsWL4bXXfKeRFPPKK67507//7TuJiIhIUGp1TStmdZjFr/t/pdqwavy0+yffkfz6+Wf4z3/cqJ9u3dzdw8GD3aifd96BsmV9JxSRAKYikEgA6dIFbr0VnnoKvv3Wdxq5bNu3w6hRrhl0dLTvNCIiIkGrTvE6LIpbxJETR6g+rDqrtq/yHSltWeuWcG/eHEqVgjffhIYN3eqja9e6vj9Zs/pOKSJBQEUgkQBijOvjlyuXG8F77JjvRHJZ3njD3Z3r1ct3EhERkaBXMX9FPr/jc7Kmz0qdD+sw9+e5viOlvsOH3cnhdddB/fqwYgX07u2aSH70kWsqqaVlReQiqAgkEmCio93qnWvXwrPP+k4jl2zvXjc0u21bKF7cdxoREZGQUCp3Kb644wtKXFGCpmOb8tG6j3xHSh07drih4YULwz33QIYMMGIE/PorPPccFCjgO6GIBCkVgUQCUPPmrq/fgAFusQcJQu+9BwcPwqOP+k4iIiISUvJny8/iuMVULVyV9pPb8/aKt31HSjlr17r+AMWKudVFa9VyU75Wr3avZ8zoO6GIBDkVgUQC1OuvQ5EibrXPgwd9p5GLcuSIm6vfqBGUK+c7jYiISMjJmTEnszrMouW/WvLvWf+m94LeWGt9x7o01sLcuW66V/nyMHmyG/2zYYNbYVRTvkQkBakIJBKgsmVzy8Zv2uQWgJAg8uGH8Mcf8PjjvpOIiIiErExRmZjYeiLdKnaj39J+dJvejYRTCb5jJV9CAowdCxUrQoMGsG6dG/2zdatbMrZECd8JRSQEqQgkEsBq1nQFoPffhxkzfKeRZElIcMvC33gjxMT4TiMiIhLS0kWk4/1m79Mnpg9D1wzltgm3cfjEYd+xzu/IERg0CEqWhA4d3EogQ4fCL7+4G0i5cvlOKCIhTEUgkQD3/PNw/fVw112wZ4/vNHJBkye74VuPPaah2yIiImnAGMNzdZ5jUONBTF8/nQajGrD3yF7fsf5u3z548UUoWhTuvx8KFoSpU90IoDvucM2fRURSmYpAIgEuQwY3LWzXLrjvPt9p5LyshZdfhtKloWVL32lERETCyn1V7mP87eNZtWMVNYbXYOv+rb4jOTt3wpNPuuLPU0/BDTfA4sWwbBm0aAERuiQTkbSjbxyRIFC+PDz9NHz0EYwf7zuN/KMFC+Crr+CRR3RCJyIi4kHra1szq8Msth3YRrVh1fh+5/f+wvz2G/Tq5Vb66t8fGjZ05wkzZ7op4xoxLCIe6CpFJEg89phrM9OjhzunkAD08suQLx907Og7iYiISNiqU7wOi+MWk3Aq4f/Zu++wqK6tj+PfA4q9d40t9l7A3sASFVvsHRRrosaaqIkSa6LRGGMXxd4VbMTeFQtiN1ZssVfsKAjn/rFjbqqiDuyZYX2eJ08uOJzz433jzDnr7L0WFWdVJPC3wNgNcO0adO8OOXOqaaGNG8OpU7BsGZQoEbtZhBDib6QIJISNiBdPDZ0KC1P9gWx1CqrdOnoUNm2Cnj1lT78QQgihWfGMxdnXYR/pkqSj+vzqrDqzKuZP+rr4kyuXmurRti2cPav29efPH/PnF0KIaJAikBA2JF8+tZp43TqYOVN3GvEXY8dC0qTQtavuJEIIIYQAcqTMQaBXIEUzFKXxssZMDejyIgAAIABJREFUD54eMyf6e/GnXTsICYEZM2TMuxDC6kgRSAgb0707VK0KffrApUu60wgArlxRDZs6d4aUKXWnEUIIIcTv0iZOyzaPbdTKXYuuv3TFe7s3pqWWU9++Db16qVHvr4s/58+r/509u2XOIYQQFiZFICFsjIMDzJ6t/t2uHURF6U4kGD9eNXfs1Ut3EiGEEEL8TRKnJKxusRqv4l4M3zWcjms6EhEZ8f4HvH8fBgyAjz+GSZOgdev/F39y5LBYbiGEiAlSBBLCBmXLpuoOu3bBhAm608RxDx6o5d4tW0LWrLrTCCGEEOJfxHOIx8z6M/Gu7M2so7P4dOmnPAt/9m4HefIEhg5VDZ9/+AEaNoTTp8HXV4o/QgibIUUgIWxUu3ZQty4MHAhnzuhOE4dNnQrPnqmx8EIIIYSwWoZhMNRtKNPrTmdDyAbc5rpx59mdt//gy5dqytfHH8OQIVCjBpw4AQsWQJ48MZ5bCCEsSYpAQtgow1ALUBInBg8PePVKd6I46MULtRSrVi0oUkR3GiGEEEJEQ2fnzqxsvpKTd05S3rc8IQ9C/v2FkZFqNGvevGrLd7FicOAA+PlBoUKxG1oIISxEikBC2LCMGdVClIMHYfRo3WnioHnz4M4d+Oor3UmEEEII8Q7q56vPNs9tPHzxkPK+5Qm6HvT/PzRNNYq1eHG19Dp9eti8GbZsgdKltWUWQghLkCKQEDauWTNo3lxtUT96VHeaOCQqCn78EZydwdVVdxohhBBCvKOyH5Vlb4e9JHVKiuscVwLOBUBwMFSrBnXqQFgYLF0KQUFQvbruuEIIYRFSBBLCDkyeDGnSqG1hL1/qThNHrFkD586pXkCGoTuNEEIIId5D3jR52ddhHwVT5KbBovr4dC2l+v1MnAinTqmnbfI5L4SwI1IEEsIOpEmj+gOdOAHDhulOE0eMHasmgTRurDuJEEIIId7Xo0dkGPETOwaepeZFgy71YNC8dpjduoGTk+50QghhcVIEEsJO1K0L7dvDqFGqZ6GIQfv2QWAg9O4N8eLpTiOEEEKId/XqlWqsmCcPjB5N0kYtWDPiAh1LdGRk0Fg8V3kSHhmuO6UQQlic3L0IYUd++kn1LPT0hCNHIFEi3Yns1JgxkCoVeHnpTiKEEEKId7Vli5r29euvULmyagLt4kI8wCerD9lTZmfw9sHceHIDv2Z+pEiYQndiIYSwGFkJJIQdSZECZs2Cs2fhm290p7FT58/DqlXw+eeQNKnuNEIIIYSIrpAQaNAAatRQTZ/9/WHHDnBx+eMlhmEwqPIg5n46l51XdlJpdiWuPb6mL7MQQliYFIGEsDPVq0O3bjB+POzapTuNHRo3DuLHhx49dCcRQgghRHQ8fgz9+0PBgrBtG3z/vVoF1LDhfzZ99ijmwbpW67j88DJlZ5bl2K1jsRxaCCFihhSBhLBDo0fDxx9Du3bw9KnuNHbkzh2YM0eNYcuQQXcaIYQQQryJacKCBZAvH/zwA7RurSZ7DhgACRO+9cdr5KrBHq89AFSaXYlNFzbFdGIhhIhxUgQSwg4lSaJqFZcvqwnmwkImT4YXL6BvX91JhBBCCPEmR4+qfj9t20LWrLB/P8yeDZkyvdNhimYoyv6O+8mZKid1FtVh9pHZMRRYCCFihxSBhLBTFStCnz4wbRps3qw7jR14/lwVgerXh/z5dacRQgghxL8JDYXu3cHZGc6cgZkzVQGoTJn3PuRHyT9id/vduOVww2uNF97bvTFN04KhhRAi9kgRSAg7Nny4qld4ecGjR7rT2Lg5c+D+fejXT3cSIYQQQvydacK8eerCZ+pUNcDh3Dno0AEcPvyWJ3mC5PzS6hfaF2/P8F3D8VzlyctXLy0QXAghYpcUgYSwY4kSwdy5cPMm9O6tO40Ni4xUDaHLlFFLrIQQQghhPU6eBFdX8PRUTRGDg2HiREiVyqKnie8YH9/6voxwG8H84/OpuaAmoWGhFj2HEELENCkCCWHnSpdW/Q9nz4aAAN1pbNTKlXDhgmqw9B9TRIQQQggRy549U1O/SpRQhaAZMyAwUH0dQwzD4JvK37Cg4QL2XdtH+VnluRR6KcbOJ4QQliZFICHiAG9vKFoUOnVSO5rEOzBNGDMGcueGTz/VnUYIIYQQAOvWQeHCauqXhwecPQsdO1pk61d0tC7amk1tNnH76W3KzCzDgWsHYuW8QgjxoeLpDiCEiHlOTmpbWKlS0KMHLFpkuWM/efmEU3dP8evdXzl99zT3w+7zJPwJT8Of8uTlE8Ijw0mZMCWpE6UmdaLUpEmUhmwpslEyU0kKpy9MgngJLBcmJuzeDUFBMGUKODrqTiOEEELEbTduQK9esHw5FCgAu3ZBpUpaolTJUYV9Hfbhvsgd17muLGi4gMYFG2vJIoQQ0SVFICHiiOLF1Yogb29o1AiaNHm/41x7fI2NIRvZcGEDB64d4Orjq3/8WQLHBKRLko5kTslI6pSUZAmSkSxBMh6+eMiVR1e4//w+oS9CiTKjAIjnEI/C6QtTMmNJPsn1Ce553EmWIJklfl3LGTsW0qZVfQaEEEIIoUdUFPj4qO1fL1/CiBFqm7aTk9ZY+dLmY3+H/TRY0oCmy5syuvpo+pXvhyHbx4UQVkqKQELEIQMGwJo18NlnULkypE//9p8xTZNDNw+x5OQSNoRs4Ne7vwKQJVkWKmevTOH0hSmUrhCF0hciZ8qcODq8ebVMlBnFpdBLHL55WP1z6zCrzq5i1tFZJHBMwCe5PqFRgUbUy1uPNInTWOLXfn+nT8PatfDtt5A4sd4sQgghRFx15oza075nD1SrBtOmqW3aViJdknRs9dhKu9Xt+GrLV4Q8CGGS+yTiO8bXHU0IIf5BikBCxCHx46ttYSVLQteu4Of3332O7z+/z4LjC5h1dBbHbx/HydGJKtmr0L54e2rlrkXBdAXf6ymXg+FArtS5yJU6F00LNQUgMiqSvVf34n/aH/8z/qw9t5b4DvFpVaQVvcv2pljGYh/ya7+/H3+EhAmhWzc95xdCCCHisvBwGD1arfpJkkRNufD0tMohDYniJ2Jx48XkSpWL7/d8z+VHl1nWZBkpEqbQHU0IIf7CME1Ty4ldXFzM4OBgLecWIq4bMwa++goWLIDWrf/6Z8duHWN04Gj8TvsRHhmOS2YXvIp70bJIS1ImTBnj2UzT5PDNw8w5OodZR2fxPOI51T+uTp+yfaiZuyYORiz1s795E3LkgA4dVD8gIcQ7MwzjkGmaLrpz2DLDMGoBPwOOwEzTNEf9y2uaAUMAEzhmmmarNx1TrsGETTh4ELy81NSvFi1g/HjIkEF3qmiZdWQWXQK6kC9NPgJaBZAjZQ7dkYQQccybrsGkCCREHBQZqbaDnToFv/4KmTND0PUgRuwawdpza0nmlIz2xdvjVcJL3yocIDQsFJ9DPkwImsCNJzconrE44z4Zh1tOt5g/+ddfw6hRcO6cVS05F8KWSBHowxiG4QicA2oA14CDQEvTNE/96TV5gGVAVdM0Qw3DSG+a5p03HVeuwYRVCwuDIUNUT75MmWDqVKhXT3eqd7b14lYaL2tMgngJWN1iNWU/Kqs7khAiDnnTNZiMiBciDnJ0hDlzVF/Fxr32U3N+TcrMLEPg1UCGuQ7jSq8r/Fz7Z60FIIBUiVLRv2J/LvW8xNxP5xIaFkrVeVVpuLQhIQ9CYu7ET56oi85GjaQAJITQqTQQYprmRdM0w4ElQIO/vaYTMNk0zVCAtxWAhLBqgYFQooQa++7lpZ5U2WABCKDax9XY33E/SZ2S4jrHlaUnl+qOJIQQgBSBhIizEmW4RsHBbdhfqBz7Lh/lh+o/cLnnZQZXGUyqRKl0x/sLJ0cnPIp5cLrbab6r+h1bLm6h4OSC9N3Yl8cvH1v+hL6+8PChmjoihBD6ZAGu/unra79/78/yAnkNwwg0DGP/79vH/sEwjM6GYQQbhhF89+7dGIorxHt6/hx691aj3l+8gE2bYMYMSGHb/XTyp83PgY4HcMnsQgu/FozcNRJduzCEEOI1KQIJEceERYQxfOdw8k3Kx8nIFWS/PAhz/AWaffSl9Y1n/5tE8RMxsNJAznU/R9uibflp/08UnVqUHZd3WO4kEREwbpzaL1emjOWOK4QQMSMekAdwBVoCMwzD+EcDN9M0fUzTdDFN0yVdunSxHFGIN9i7F4oXVz1/PvtM9QCqUUN3KotJmzgtWz220rpIawZtH4TnKk9evnqpO5YQIg6TIpAQcci68+soMLkA3ju8cc/jzulup9nx7XAIT4qXF0RF6U4YPZmSZcK3gS+BXoE4OTrhNteN3ht6ExYR9uEHX7oUrl5VnbOFEEKv60DWP3390e/f+7NrwBrTNCNM07yE6iGUJ5byCfH+XrxQK24rVlRTwLZuhcmTIWlS3cksLkG8BMxvOJ/hbsOZf3w+1eZV4+4zWZEnhNBDikBCxAGhYaF4rvKkzqI6JHFKwnbP7SxvupycqXKSI4da+LJtm2qDY0vKZS3HkS5H6FaqG+MPjKekT0mCb3xAs1PTVKPTChWC2rUtF1QIId7PQSCPYRg5DcNwAloAa/72mlWoVUAYhpEWtT3sYmyGFOKdBQdDyZKq+XOnTnD8OFStqjtVjDIMg0GVB7G0yVIO3TxEmZllOHX31Nt/UAghLEyKQELYuTVn11BwSkEWHl/IoEqDONz5MK45XP/ymo4doVYttfglJAb7LceEJE5JmOQ+iY1tNvLk5RPK+ZZjctDk99tzv2mTuhDt1w8c5O1RCKGXaZqvgO7ARuA0sMw0zV8NwxhmGEb931+2EbhvGMYpYDvwpWma9/UkFuItIiJg6FAoWxYeP4YNG2D6dEieXHeyWNOsUDN2ttvJ84jnlPMtx8aQjbojCSHiGBkRL4SdevzyMd3WdWPB8QUUy1CM2Q1mUyJTif98/fXrULiwWgSzc6eaIGZrQsNC8VjlQcC5ANoXb8+UOlNIGC9h9A9QrRqcOQOXLoGTU8wFFSKOkBHx1kmuwYQWZ86AhwccPAht2sCECZDKugZRxKbfHv1GvcX1OHnnJONrjqd76e4YhqE7lhDCTsiIeCHimOAbwZSYXoLFJxYzpMoQgjoFvbEABJAli7oeCwyEn36KpaAWlipRKla3WI13ZW9mH51NpdmVuPro6tt/EODQIbUnrndvKQAJIYQQlmKaMHGiGv1+8SIsXw7z58fpAhBAthTZCPQKpG7eunyx4Qs+/+VzIiIjdMcSQsQBUgQSwo6Ypsm4feMo71ueV1Gv2NV+F9+6fouTY/SKGm3awKefwqBBcMpGt6k7GA4MdRvKquarOHvvLM4+zuy6suvtPzhmjFqO3rlzzIcUQggh4oKbN1WPvS++UD1/TpyAJk10p7IaSZ2SsrL5SvpX6M+0Q9OotbAWD8Ie6I4lhLBzUgQSwk7ce36Peovr0XdTX+rkrcORLkcon7X8Ox3DMGDaNEiWDDw91dZ9W9UgfwOCOgWROlFqasyvwbJfl/33i18/mezaNU71JRBCCCFizMqVUKQI7NqlJk8EBECmTLpTWR0Hw4FR1Ucxp8Ecdl/ZTZmZZThz74zuWEKIGHbrFhw7pufcUgQSwg4cuXkEZx9nNl/czMTaE/Fv5k/qRKnf61gZMqhrteBgGDXKwkFjWf60+dnbYS+ls5SmxYoWTDww8d9fOG6caoLUs2fsBhRCCCHszdOnauJEo0aQIwccOaIeski/mzfyLO7JNs9tPHrxiLIzy0rDaCHsTHi46rs6cKDaHZspE3TpoieLFIGEsHGLTiyiwqwKRJlRBHoFWqSxYJMm0KoVDBsGhw9bKKgmqROlZlObTdTPV58vNnzB11u//uvksDt3wNdXNavMnFlfUCGEEMLWvR79PmsWfP017N0L+fLpTmUzKmaryMFOB8meMjvui9wZv3/8+007FUJYhatXwccHGjaEtGnB1RXGjoUUKeC779SDdx3i6TmtEOJDvYp6xcAtAxm7byyVslViRbMVpE+S3mLHnzgRtm9XtZFDhyBBAosdOtYlip+IFc1W0O2Xbny/53tuPr2JT10f4jvGV7/oy5fw5Ze6YwohhBC2KSoKfvwRvvlGLSnesQMqV9adyiZlT5mdQK9A2q5sS++NvTl55yRT6kyJdn9HIYQ+4eFqyM66deqf1z1Ws2dXD9hr1wY3N/3dJ6QIJIQNCg0LpfmK5my+uJlupboxruY4i18cpE4NM2dCnTrw7be2vzUsnkM8ptWdRuZkmRmycwhPXj5h8Sc+xJ88WXXDlieVQgghxLu7eVM9MdqyRW0BmzFDXUSI95bUKSl+zfzw3u7NyN0jOXv/LH7N/Cz6sE8IYRk3b8L69fDLL7B5Mzx5AvHjqzp4hw6q8JM/v3XtiI1WEcgwjFrAz4AjMNM0zX+9HTQMozGwAihlmmawxVIKIf5wKfQS7ovcufDgAjPqzaBjyY4xdi53d7Wtf8wYqF8fyr9bn2mrYxgG37p+S4qEKei9sTctzp9jyaNQ4vfvrzuaEEIIYXvWr1cFoGfP1J6Hjh2t607HhjkYDoyoOoLC6QvTfnV7Ss0oxeoWqymesbjuaELEaVFRql1GQID659Ah9f0sWaBlS3X/VK0aJE2qN+ebvLUnkGEYjsBkoDZQEGhpGEbBf3ldMqAncMDSIYUQStD1IMr6luX209tsbrs5RgtAr40bB9myqWlhz57F+OliRa+yvRhffSz+r07Q/LO0hLuU0B1JCCGEsB3h4dCvn7rbyZxZ3QV16iQFoBjQonALdrffTWRUJBVmVcDvlJ/uSELEOc+ewapVqs6dJQuUKqV6pyZIACNHwtGjqv/P9OnQoIF1F4Ageo2hSwMhpmleNE0zHFgCNPiX1w0HRgMvLJhPCPG7ladX4jrHlSTxk7C3w16q5KgSK+dNlgxmz4aQEBgwIFZOGSt6nk/Dz+thZbp7NF/RnPDIcN2RhBBCCOt38SJUrKh6AH3+ORw4AAUK6E5l11wyuxDcOZhiGYrRZHkThuwYQpQZpTuWEHbt2jXVuNndHdKkUc2dV6xQ27zmz1ezZQIDVQ/8YsVsqwYenSJQFuDqn76+9vv3/mAYRkkgq2mav7zpQIZhdDYMI9gwjOC7d+++c1gh4qqf9v1E42WNKZqhKPs77id/2vyxen5XV+jVCyZNgq1bY/XUMSMqCkaP5osXxZhYawKrzqyi2fJmRERG6E4mhBBCWK/ly9Vs43Pn1N3Q5MmQMKHuVHFCxqQZ2e65nXbF2zF051CaLGvCk5dPdMcSwm6YplrRM2wYODtD1qyqzn3uHHz2mboHunsXli6FNm3UtC9b9cGNoQ3DcADGAe3e9lrTNH0AHwAXFxeZdyjEW5imSf8t/RmzdwyNCjRifsP5JI6fWEuW776DDRugfXs4cUKNNrRZa9fCmTOwaBHdy7TEMBzovr477Va3Y37D+TgY0amPCyGEEHHEy5fQpw9MmQJlysCSJZAjh+5UcU6CeAmYVX8WxTIUo9+mfpTzLcfqFqvJlTqX7mhC2KSICNi1C1avVv/89pta0VO2rBqKU6+eWuhoS6t8oiM6RaDrQNY/ff3R7997LRlQGNhhqP/rZATWGIZRX5pDC/H+XkW9ovPazsw+Opuuzl2Z5D4JRwdHbXkSJYJ586BcOejZE+bM0Rblw5imelfPmROaNgWgW+luPH75mK+3fU2qhKmYWHsihr292wshhBDv48IFaNZMdULt2xe+/16NvhFaGIZBr7K9KJy+MM2WN6PUjFIsa7qM6h9X1x1NCJvw9Cls3Kh6/AQEwMOHakHjJ5+AtzfUrQsZMuhOGbOiUwQ6COQxDCMnqvjTAmj1+g9N03wE/LEYyjCMHUA/KQAJ8f7CIsJo6deS1WdX413ZmyGuQ6yiKFGqlNr3Ony42hfb4N+6g1m7Xbtg/361hD3e/98CB1QcwIOwB4zdN5Y0idIw1G2oxpBCCCGEFfD3V0uAHRzUHZNNfvDbp+ofV+dgp4N8uvRTai6oydgaY+lVtpdVXC8KYW3u3YM1a9Tb2KZNanFjmjTw6afqba1GDUiSRHfK2PPWIpBpmq8Mw+gObESNiJ9lmuavhmEMA4JN01wT0yGFiEsevXhE/SX12X1lNxNrT6R76e66I/3FoEGqat65sxoZny6d7kTv6LvvVHm/ffu/fNswDH6o8QOhL0IZtmsYqRKlolfZXppCCiGEEBpFRMBXX8H48eoJ0LJlsv3LCuVKnYt9HfbhsdKDPpv6cPjWYXzq+pAofiLd0YTQ7to1WLlS1bJ37VItQbNlg65d1cPsChX+8jw4TonWr22a5jpg3d++5/0fr3X98FhCxE33nt+j5oKaHL99nIWNFtKySEvdkf7ByUltC3N2hi5dwM/PhvbJBger8v/o0Wp/298YhsH0utN5+OIhvTf2JnWi1HgU89AQVAghhNDk2jVo3hz27oUePWDsWPXhL6xSUqekrGi2gpG7RuK9w5tTd0+xsvlKsqXIpjuaELEuJETdm/j7Q1CQ+l7BgjBwIDRqpPra28x9SwyS7qdCWIlbT2/hNteNU3dPsbrFaqssAL1WuDCMGKGq6wsW6E7zDr7/HlKmVI8A/oOjgyMLGy2kWs5qdFjTgS0Xt8RiQCGEEEKjrVuhZEk4dgwWL4YJE6QAZAMcDAcGVxnMmhZrCHkQgouPCzsv79QdS4hYcfq0alVRvDjkyQMDBkBkpFr8f/o0/Pqrum8pWVIKQK9JEUgIK3Dt8TWqzKnCxdCL/NLqF9zzuOuO9FZ9+kClStC9O1y9qjtNNJw6pR4L9OgByZO/8aUJ4iXAv7k/BdIWoNHSRhy/fTyWQgohhBAaREXByJGqM2ratHDwILRooTuVeEf18tUjqGMQqROlptq8akw4MAHTlIHMwr6YJpw8Cd9+q1b5FCyoGjonTQrjxsHly2rx/8CBkD+/7rTWSYpAQmh2KfQSlWdX5tbTW2xqs4mqOavqjhQtjo5qQlhUlGqvExWlO9FbjB4NiRPDF19E6+XJEyRnXet1JE+QHPeF7lx/fP3tPySEEELYmocPVXfUQYNU4ScoSM1EFjYpX9p8BHUKok7eOvTc0BPPVZ6ERYTpjiXEBzFNOH4cBg9Wb09FiqjVPRkywMSJcP067NkDvXtD9uy601o/KQIJodH5++epPKcyD188ZKvHVipkq6A70jv5+GP46Se1enzSJN1p3uDyZVi4UDUxSpv2rS9/7aPkH/FLq194/PIxdRbV4fHLxzGXUQghhIhtJ06oxs/r16s7qQUL1ON0YdOSJ0jOyuYrGeo6lAXHF1BhVgUuP7ysO5YQ78Q01VvU68JPsWJqi1eWLDB1Kty4Adu3q10JmTPrTmtbpAgkhCbn7p/Dda4rL1+9ZEe7HbhkdtEd6b106AB16kD//nDmjO40/2HMGDXetm/fd/7RYhmLsaLZCk7eOUnT5U2JiIyIgYBCCCFELFu8GMqWhWfPYMcOdSclDTPshoPhgHcVb9a2XMvF0Iu4+LhIn0NhE06dgiFD1DavokX/X/iZNg1u3lQPn7t2VauAxPuRIpAQGpy7fw7XOa5EREawzXMbRTMU1R3pvRkGzJwJSZJA27ZqqqxVuXULfH2hXTv1CfIePsn1CT71fNh0YRM91veQ/fVCCCFsV0SE2jPRqpXqlHrokJqVLOxSnbx1CO4cTKZkmai5oCaj94yW6xhhdc6fV9u7ihSBQoVg2DDImBGmTFErfrZuVQv606fXndQ+SBFIiFh29t5ZXOe48irqFds8t1E4fWHdkT5YxoyqOh8crPpKWpVx49QF71dffdBhvEp40b9Cf6Yfms7kg5MtFE4IIYSIRXfvqubP48erQQnbtkGmTLpTiRiWO3Vu9nXYR9OCTRmwdQBNljeRLe5Cu99+g7FjwdkZ8uZV275SpFBDCa9fV1u9PvtMVvzEhHi6AwgRl5y9dxa3uW5EmpFs99xOofSFdEeymCZNoE0bVcV3d4fSpXUnAu7dU48QmjeH3Lk/+HDfVfuO0/dO02tDL/KlyUeNXDUsEFIIIYSIBYcPQ8OGcPs2zJ0LHh66E4lYlNQpKYsbL6ZMljJ8uflLytwtg38zfwqkkybgIvbcuQPLlsGSJRAYqL5XqhT8+CM0bQpZs+rNF1fISiAhYsn5++f/KABt89hmVwWg1yZOVI3Z2rRRLQa0Gz9eBfnmG4sczsFwYEHDBRRMV5Cmy5ty9t5ZixxXCCGEiFELFqgtX6ap7rykABQnGYZB73K92eqxlQdhDyg9szQrTq3QHUvYuUeP1EThmjXVfUKPHup7I0ZASIgaSNinjxSAYpMUgYSIBRdDL1J1XlW1BcxOC0AAKVOqh4shIR+8++rDhYaqqlSTJmpzsYUkS5CMtS3X4uToRL3F9XgQ9sBixxZCCCEs6tUrNRShbVsoU0bt23Z21p1KaFYlRxUOdz5M4fSFabq8Kf029eNV1CvdsYQdefEC/P3VZXiGDNC+ver707+/mvh14oR6Rpsrl+6kcZMUgYSIYVceXqHq3Ko8j3jOFo8tdlsAes3NTVXzp0xRE2e1mTABHj+GQYMsfujsKbOzsvlKrjy6QtPlTeXCSQghhPUJDVXjO8eNU5O/Nm+WrqriD1mSZ2Fnu510K9WNH/f9SLV51bj19JbuWMKGRUaqBs5eXqrw07gx7N6tGjrv2wcXLqjeoYVtvx2qzZMikBAx6Nrja1SdV5VHLx+xue1mm54C9i5GjFBv8F5ecP++hgCPH6utYA0aQLFiMXKKCtkq4FPXh22XtvHlpi9j5BxCCCHEezl9WjXn274dZsxQK2Pjx9edSlgZJ0cnJrlPYkHDBRy8fpAS00uw+8pu3bGEDTFNOHJELTjMlg2qV4cVK1T7sY0bVYPnn3+GsmXVRGFhHaQIJEQMufnkJtXmVePus7tsbLORkplK6o4UaxImVO0H7t9X1f9Yn0Q6aRIt/waNAAAgAElEQVQ8fKjGDMQgz+Ke9CzTk/EHxjPv2LwYPZcQQggRLb/8orZ+PX6sikAdO+pOJKxc66KtOdDxAMmckuE2141x+8bJGHnxRleuwPffq44LJUuqOrOLCyxdqnrPz5mjBhHGkzFUVkmKQELEgHvP71F9fnWuP77OhjYbKJ3FGkZlxa5ixdSKID8/mD8/Fk/89Kla+u7uHit9D8bUGINbDjc6r+1M8I3gGD+fEEII8a9ME374AerVgzx5VP+fChV0pxI2okiGIhzsdJD6+erTd1NfmixvwqMXj3THElbk4UOYORNcXSFHDvj6a0iTBqZOhZs3YfVqaNYMEiXSnVS8jRSBhLCwhy8e8sn8T7gYepGAVgGUz1pedyRt+vaFypVVK4JLl2LppFOnqiVIMbwK6LX4jvFZ2mQpGZNmpOHShtx+ejtWziuEEEL84eVL1Xm1f381Z3n3bhm1I95ZioQp8Gvmx9gaY1l9ZjUuM1w4duuY7lhCo4gIWLtWFXcyZoROnVTBZ/hwuHhRvdV07aqKQcJ2SBFICAt6Gv4U94XunLxzEv9m/rjmcNUdSStHR7UKyMFBDSZ5FdP9k58/h7FjoUYNtfk4lqRLko6VzVdy//l9mi5vSkRkRKydWwghRBx35w5UrarGcw4dCkuWQOLEulMJG2UYBn3L92VHux08j3hOWd+yzDk6R3csEYtMEw4eVKPcM2eG+vXVztLOndU49zNn1NyVnDl1JxXvS4pAQlhIWEQY9RfXJ+h6EEuaLKF2ntq6I1mFbNnUpLDAQBg9OoZPNn26uhiOpVVAf1YiUwl86/uy+7fd9N7YO9bPL4QQIg46fhxKlVKdWZctA29v6b4qLKJitooc6XKEClkr0H51ezqs7sDziOe6Y4kYdO0ajBql+vyULq16yru5qZVAN26owbulSslbjD2QIpAQFhAeGU6T5U3YcXkHcz6dQ6MCjXRHsiqtWkHLljBkiHqyECOePVOfXNWqQaVKMXSSN2tZpCX9yvVj8sHJ0ihaCCFEzAoIUD1/IiPVnoymTXUnEnYmfZL0bGyzkcGVBzP76GzKzCzD2XtndccSFvTsmRrmUqOGenA7cCCkTg0+PnDrlqot160rwwXtjRSBhPhAkVGRtPFvw7rz65hWdxptirbRHckqTZ4MmTJBmzbqA8fipkxRq4CGDo2Bg0ff99W/xy2HG10CunDk5hGtWYQQQtgh04SfflJ7NPLnV/szYmEQgoibHB0cGeY2jPWt13Pr6S2cfZxZdGKR7ljiA0RFwc6d4OWl+vy0bQsXLqiF9CEhsGeP6v2TMqXupCKmSBFIiA8QZUbReW1nlp9azo+f/Ehn5866I1mtVKlUu4Lz51XDaIt68kTtNatZU/sklHgO8VjSZAlpE6el8bLGPAh7oDWPEEIIOxIRobqw9ukDjRqpO7nMmXWnEnFAzdw1OdLlCCUylaC1f2u6BnTlxasXumOJd3DpknpWmju3mvC1fLlq+Lxzpyr+DB0KuXLpTiligxSBhHhPpmnSZ2MfZh2dhXdlb/qU66M7ktVzc4N+/VTrntWrLXjgSZPURDDNq4BeS58kPSuaruD6k+u08mtFZFSk7khCCCFs3cOHULu22qfx9ddqn4Y0gBax6KPkH7HNYxtflf+K6YemU863HOfvn9cdS7zBs2cwb566Bv/44/8XeubPV9u9fH3VJF8HqQrEKfL/biHe05AdQ/j5wM/0LNOTIa5DdMexGSNGQIkS0KGDajL3wR4/hjFjoE4dKFPGAge0jDIflWFi7YlsvLCRITuG6I4jhBDCll26BOXKwa5dMGcOjBwpd21Ci/iO8RldYzQBLQP47dFvlPQpyeITi3XHEn9immpLV4cOaruXp6dq+jxiBFy+DJs3q/YMSZLoTip0kU8PId7DuH3jGLZrGO2Lt2dczXEY0iY/2pycYNEiNc3d01PtS/4g48dDaKjVrAL6s04lO+FV3IsRu0ew5uwa3XGEEELYov371UOO27fV3Zunp+5EQlAnbx2OdjlK0QxFaeXfii5ruxAWEaY7Vpx27Rp89x3ky6dmpCxbprZ77d4N587BN9+o5s9CSBFIiHfke9iXvpv60qRgE2bUm4GDIX+N3lX+/Kp2s2WL6m353kJDYdw4aNDAKptiGobB5DqTcc7kjMdKD0IehOiOJIQQwpasWKH2cSRLBvv2QZUquhMJ8YesKbKyw3MH/Sv0x+ewD2V9y3Lm3hndseKUly9Vb5/atSF7dlXoyZRJLRi8eVNt96pYUca6i7+Su1ch3sHyX5fTOaAztXLXYmGjhTg6OOqOZLM6dVK1m4ED4ejR9zzITz/Bo0dWuQrotYTxErKi2QocHRxpvKwxzyOe644khBDC2pkm/PCDGvtesqRaDZQvn+5UQvxDfMf4jKo+inWt1nHjyQ2cfZyZc3QOpmnqjmbXjh2Dnj1VX/hmzeDkSdUqLCRENXr29ISkSXWnFNZKikBCRNOGkA209m9NuY/K4dfMDydHJ92RbJphwMyZkDYttGyptoe9k3v31HKiJk2gWLEYyWgpOVLmYGGjhZy4fYKuAV3lwkgIEW2GYdQyDOOsYRghhmEMeMPrGhuGYRqG4RKb+UQMePUKPv8c+vdXd3dbt0K6dLpTCfFGtfPU5ljXY5TOUpr2q9vjscqDJy+f6I5lVx4+hClTwMUFiheHadOgenXYsEH1+hk+XKZ7ieiRIpAQ0bDntz00WtqIQukLEdAqgMTxZRqHJaRNqyYWnDkDvXu/4w+PGqVGHgwZEhPRLK5W7lp8W+Vb5h+fz7TgabrjCCFsgGEYjsBkoDZQEGhpGEbBf3ldMqAncCB2EwqLe/oUPv1U3d317w+LF0PChLpTCREtmZNlZkvbLQx1HcqiE4tw9nHmyM0jumPZtKgo2L5dNXLOlAm6dVN14gkT1ICVpUuhZk1wlM0J4h1IEUiItzhy8wh1FtUha4qsbGyzkZQJU+qOZFeqV4cvv1QTb/38ovlDV6+qsfAeHlCoUIzms6TBVQbjnsednht6cuCa3KsJId6qNBBimuZF0zTDgSVAg3953XBgNPAiNsMJC7t1S/X8Wb9eFYFGjZIJYMLmODo44l3Fm20e23ge8ZyyvmUZv3+8rIJ+R9evqyGAefJA1aoQEABeXnDokGqj0KMHpEmjO6WwVfLJIsQbnL13lpoLapIiQQo2t91M+iTpdUeySyNGqKWtHTvCb79F4weGDlX9EmxkFdBrDoYD8xvOJ0vyLDRZ3oS7z+7qjiSEsG5ZgKt/+vra79/7g2EYJYGspmn+8qYDGYbR2TCMYMMwgu/elfceq3P6NJQtC2fPwpo10KWL7kRCfJAqOapwtOtRauaqSe+Nvam3uJ5c97xFRASsWgV166opXoMGqWbPCxaoJs+TJ6sWYUJ8KCkCCfEffnv0GzXm1wBgi8cWsqWQmYoxxclJrXh/9Qpat1b//k9nzsDs2apfQvbssZbRUlInSo1/M3/uPrtLK/9WREZF6o4khLBRhmE4AOOAvm97rWmaPqZpupim6ZJO+stYl927oXx5ePFCdXStU0d3IiEsIm3itKxusZoJtSaw+eJmik0rxrZL23THsjrnz8OAAZA1KzRsCIcPq6/Pn4dt29S1caJEulMKeyJFICH+xZ1nd6gxvwaPXj5iY5uN5E2TV3cku5c7t1r9vmePWhn0nwYPhsSJ1QgEG1UiUwmm1JnClotb8N7urTuOEMJ6XQey/unrj37/3mvJgMLADsMwLgNlgTXSHNqG+PlBjRqQIYOaAObsrDuREBZlGAY9yvQgqGMQKRKmoPq86gzcMpCIyAjd0bQKC4OFC8HVFfLmhbFj1WLAtWvVqviRI9W1sRAxQYpAQvzNoxePqLWgFlcfXeWXVr9QIlMJ3ZHijNatVZuf4cPVg9F/OHgQVqyAfv1sflKKVwkvOpboyHd7vmPN2TW64wghrNNBII9hGDkNw3ACWgB/vGGYpvnINM20pmnmME0zB7AfqG+aZrCeuOKdTJigRsA7O0NgIOTIoTuREDGmWMZiBHcKpmPJjowKHEWFWRUIeRCiO1asO34cvvhCjXZv00a1ufzuO1X4eb0VLF483SmFvZMikBB/8jziOXUX1+XknZP4N/enYraKuiPFOZMmwccfQ6tW8ODB3/7w66/VSLE+fbRks7SJ7hMpmakkHis9uPDggu44QggrY5rmK6A7sBE4DSwzTfNXwzCGGYZRX2868d6iouCrr6BnT2jQALZskQ6vIk5I4pQEn3o+rGi6gpAHIZSYXoK5R+fafdPop09h5kwoUwaKFYPp06F2bbXV6/x5GDhQFYWEiC1SBBLid+GR4TRe1pjA3wJZ0GgBtXLX0h0pTkqWDJYsgdu3oX171f8ZUBfJW7aoLnnJkmnNaCkJ4yVkRdMVOBgONF7WmOcRz3VHEkJYGdM015mmmdc0zVymaY78/Xvepmn+YwmhaZqusgrIyoWHQ9u2MGaMmvW8YoU0+xBxTuOCjTnW9RjOmZxpt7odLf1aEhoWqjuWRZmmWsDeubMa7d6pEzx7BuPHq9HuixaBm5sMABR6yH92QgCRUZG08W/DhpANzKg3g2aFmumOFKc5O6vr4zVr1Gp5oqJUh7xs2aBrV93xLCpnqpwsbLSQ47eP89kvn9n90zAhhIiznjxRez0WLVL7PyZOBEdH3amE0CJriqxs9djKyKoj8TvtR7Fpxdh5eafuWB/s0SOYMgVKlIDSpVXfn6ZNYe9eOHFCLQCUhX9CNykCiTjPNE26BHRh+anl/PjJj3Qo2UF3JIHaL12/Pnz5JVwcuRgOHVJd8hIk0B3N4mrnqY13FW/mHZvHtOBpuuMIIYSwtNu31WP/bdvUhMuBA8EwdKcSQitHB0e+rvQ1e732kjBeQtzmujFwy0DCI8N1R3snpgn79qkV7JkyqUV+Dg6qGHTjBsyaBeXKyV95YT2kCCTiNNM06bepH75HfBlceTB9ytlHrxl7YBjqOjl7+jASDh3Iq+LOqlGQnfKu4o17Hnd6bujJvqv7dMcRQghhKRcuQIUKcPq0WuLarp3uREJYlVJZSnG4y2E6lOjAqMBRlPctz9l7Z3XHeqvQULWgr2hRKF9e7e5s2xaCg9WY988+gxQpdKcU4p+kCCTitBG7RjBu/zh6lO7BUNehuuOIv0mdGjbXHU/myKuMSPkjpmG/b1kOhgMLGi4ga4qsNFnehNtPb+uOJIQQ4kMdPqzuDh8+VKuA3N11JxLCKiV1SsqM+jPwb+bPpYeXKDG9BFMOTrG6bfKmqYb5eXqqZs5ffKHaes2YATdvqqbPzs66UwrxZvZ7RyXEW4zfPx7vHd54FPNgfK3xGLJG0/rcuUOORd9zrmADhu6ogo+P7kAxK1WiVPg18+NB2AOar2jOq6hXuiMJIYR4X9u3g6srJEyo7hrLlNGdSAir17BAQ058doLK2SvTbV033Be5c/PJTd2xePAAfv4ZCheGihXVOPf27eHIEQgKgo4dIWlS3SmFiB4pAok4yfewL7039qZRgUb41vfFwY5XmNi0IUMgLIzcK0ZTs6Zqpnf0qO5QMat4xuL41PVh55WdDNgyQHccIYQQ78PfH2rVUgMN9u6FfPl0JxLCZmROlpn1rdczqfYkdlzeQZGpRfA/7R/rOUwT9uxRW7wyZ4ZevdSAWl9f1etnyhQoXjzWYwnxweTOV8Q5S08updPaTtTKXYtFjRYRzyGe7kji35w+DT4+0LUrDgXyMX8+pE2rJiw8eqQ7XMxqW6wt3Up148d9P7L05FLdcYQQQrwLHx/1YeXsDLt2QZYsuhMJYXMMw6Bb6W4c6XKEHClz0HhZYzxXefLoRcxfBP551U+lSqqVV4cO6kHk/v3g5QVJksR4DCFijBSBRJwScC6ANivbUDFbRfya+ZEgnv1NmrIbX32lPmG9vQFIlw6WLoVLl9QHsZVtEbe4cTXHUT5rebzWeHHi9gndcYQQQryNaaopll26qFVAW7ao5nZCiPeWP21+9nXYx+DKg1l4fCFFphZh26VtFj/P61U/Hh6qbvv3VT+TJ0OxYhY/rRBaSBFIxBnbLm2jybImFM9YnIBWASSOn1h3JPFftm6FgAD45htV/fldhQowahT4+alpDPbMydGJFU1XkCJBCj5d+ikPwh7ojiSEEOK/REVBnz4waBC0aaMahiSW6wwhLCG+Y3yGuQ0j0CuQhPESUm1eNXpt6EVYRNgHHzs0FCZM+P+qn9Wr1UofWfUj7JkUgUScsPfqXuovrk/u1LnZ0HoDyRMk1x1J/JeICNX8J2dONXLhb/r2hQYNoF8/OHBAQ75YlClZJvya+XH10VVa+7cmMipSdyQhhBB/9+qVulMcP159bs2dC/Hj604lhN0p81EZjnY9SvdS3fn5wM+U9ClJ0PWgdz6OaapWXa8nfPXsqZo6y6ofEVdIEUjYvUM3DlF7YW0yJ8vMFo8tpEmcRnck8SZTpsCvv8JPP6mJKn9jGDB7tlqq27Qp3L+vIWMsKpe1HJPcJ7EhZAODtw/WHUcIIcSfhYVB48aq8DNsmCoEOcjltRAxJXH8xEx0n8imNpt4Gv6U8r7lGbRtEOGR4W/92YcPYdIkKFpUrS5fuRLatVMTvg4ckFU/Iu6QTylh107cPsEnCz4hVcJUbPXYSsakGXVHEm9y5w58+y188gnUr/+fL0uVCpYvh9u3oXVriLTzBTKdnTvTqWQnvt/zPStOrdAdRwghBMDjx1C7Nqxdq+4sBw9WTyqEEDGuRq4anPjsBG2LtWXk7pGUnlGaY7eO/eN1pqm2dbVvr1b99OgBCRKo/u03bsDUqTLhS8Q9UgQSduvsvbNUn1+dhPESss1zG1lTZNUdSbzN11/Ds2dqJMNbLqRdXFRfoI0b1cNXezex9kTKZClDu1XtpFG0EELodu8eVK0KgYGwcCF066Y7kRBxTsqEKZndYDarW6zm1tNblJpRipG7RvIq6hWPHv1/hHu5crBihRr1fugQBAdDp05qC5gQcZEUgYRduhh6kWrzqgGw1WMrH6f6WHMi8VYHD8KsWWocQ/780fqRTp3UMt5hw+CXX2I2nm4J4iXAv7k/yRMkp8GSBtx7fk93JCGEiJuuX4fKldXW5dWroWVL3YmEiNPq56vPyc9P0qhAIwZtH0SmwWXJWPQk3bqBoyNMn65W/UyfDiVL6k4rhH5SBBJ258rDK7jNdSPsVRib224mf9roFRSERlFR0L07ZMigltNHk2H8/ylPmzZw8WIMZrQCmZNlZmXzldx4coOmy5sSERmhO5IQQsQtISFQsSJcu6aWorq7604kRJz3+DGsmJeWc98tgWXLuRfxG+Htnfl88XcEBb+ic2c17l0IoUgRSNiVa4+v4TbXjccvH7O57WaKZiiqO5KIjnnzICgIRo+G5O82uS1RIjUy3jCgUSN4/jyGMlqJMh+VwaeeDzsu76D3xt664wghRNxx4oSaIf3kCWzfrlYDCSG0CQ6Gzp1Vr5/PPlPPFKd0b8KFPr/SuFADppz9hnK+5Th556TuqEJYFSkCCbtx48kNqs6tyv2w+2xqs4mSmWS9p014+BD691cbttu0ea9DfPyxaslw/Li6CDBNC2e0Mh7FPOhbri+TD05mxqEZuuMIIYT9CwqCKlXU5K9du8DZWXciIeKkJ09UU2dnZyhVSl3/NW+upnsdOaKuAz/OmI5lTZexrMkyLj+8TMnpJRmxa4SsoBbid1IEEnbh9tPbVJtXjZtPb7Kh9QZKZSmlO5KIrgEDVIPNyZM/aKxu7dpqsNi8eepQ9m509dHUzFWTbuu6sfvKbt1xhBDCfu3cCdWqQcqUsGcPFCyoO5EQcc7hw9Cli1r106ULRESooXw3boCvL5Qu/c+ZIk0LNeXU56doVKARg7cPpvTM0hy9dVTPLyCEFZEikLB5d57dodq8avz26DfWtVpHuazldEcS0bV3r+rS16sXlCjxwYcbPBjq1VOH27Hjw+NZM0cHR5Y0WULOVDlptKwRF0PtvCGSEELosH491KoFWbPC7t2QM6fuRELEGU+ewIwZasWPszPMnw9NmsC+fXDsmBrKlyLFm4+RLkk6ljRZgn8zf24+uUmpGaUYvG0wL1+9jJ1fQggrJEUgYdPuPLuD21w3LoZeJKBlAJWyV9IdSURXeLjayJ01KwwdapFDOjjAggWQJw80bQpXrljksFYrZcKUBLQMIDIqkrqL6vLwxUPdkYQQwn6sWAENGkCBAmo1UJYsuhMJESccPgxdu6pVP507w4sXMGGCWvUzezaULfvPVT9v07BAQ051O0XLwi0ZsXsEJaaXYN/VfTHzCwhh5aQIJGzW6wLQpdBLrGu9DrecbrojiXfx449qvO7kyZA0qcUOmzy5mtgbHg4NG9p/o+g8afLg39yf8w/O02x5M15FvdIdSQghbN+8earRSKlSsG0bpEunO5EQdu31qh8XF7XqZ+5caNxYLRo/fhx69FA7Mj9E6kSpmddwHutareNp+FMqzKpArw29eBr+1DK/hBA2QopAwia9LgBdfniZda3X4ZrDVXck8S4uXIBhw9Sne716Fj983ryweDEcPQodO9p/o2jXHK5MqzONzRc388X6LzDt/RcWQoiYNHUqeHqCmxts2vThd55CiP906ND/e/107gwvX/5/1c+cOWpuyLuu+nmb2nlq8+vnv/J5qc/5+cDPFJlahE0XNln2JEJYMSkCCZtz++ntPwpAv7T6RQpAtsY01eiG+PHh559j7DTu7jBypCoGjR0bY6exGh1KduDL8l8yNXgqE4Mm6o4jhBC26ccf4fPPoW5dCAiAJEl0JxLC7jx+rFpCOjurlT+ve/38edVPqlQxmyFZgmRMcp/Erna7SOCYgJoLauKx0oN7z+/F7ImFsAJSBBI25caTG7jOdZUCkC1bvBg2b4bvvovx/goDBqjeQP37q2t5ezeq+ig+zf8pvTf2JuBcHPiFhRDCUkwThg+Hfv3UB4e/PyRMqDuVEHbDNOHgQejUSa366dr1rxO+Zs+OmVU/b1MpeyWOdj3KoEqDWHxyMQUmF2Dh8YWyqlrYNUPXf+AuLi5mcHCwlnML23T10VWqzqvKrae3WNdqnTSBtkW3b0OhQpArl3rc4+gY46d8/hwqV4azZ9U0icKFY/yUWj0Lf0aVOVU4fe80Ozx3UCpLKd2RRBxmGMYh0zRddOcQfyXXYH9jmjBwIIweDR4eat50vHi6UwlhFx4+hIULVb+fY8cgcWJo0UJt/fq3se46nbh9gk5rO3Hg+gFq5qrJ1DpTyZlKJgIK2/Sma7BorQQyDKOWYRhnDcMIMQxjwL/8eR/DME4ZhnHcMIythmFk/9DQQvzZ5YeXqTKnCnee3WFTm01SALJFr7eBPXmiHvfEQgEI1MXG6tWQLJlqP3TnTqycVpskTkkIaBVA+iTpqbu4royOF0KINzFN6NVLFYC6dlWfT1IAEuKDmCYEBkK7dmrVT/fuaoLr1Klq1Y+vL5QpY10FIIAiGYoQ6BXIhFoTCLwaSKEphfgh8AciIiN0RxPCot5aBDIMwxGYDNQGCgItDcMo+LeXHQFcTNMsCqwAfrB0UBF3hTwIofLsyjx88ZCtHlspl7Wc7kjifSxZAitXqobQBf/+FhKzsmSBNWvg1i1o1Eg1HbRnGZNmZH3r9URERlB7YW3uP7+vO5IQQlifqChV+JkwAXr3hilT1J2qEOK93LsHP/2kFn1XrAh+fmpxXXDw/8e+p0ihO+WbOTo40qNMD059fopPcn1C/y39cZnhQtD1IN3RhLCY6HzSlQZCTNO8aJpmOLAEaPDnF5imud00zdeDmPcDH1k2poirTt09RZU5VQh7FcY2z224ZJZdBTbp1i31GKh0aejbV0sEFxc1bjQwUC1Btvet3vnT5md1i9VceXiFBksaEBYRpjuSEEJYj8hI8PICHx/4+mvVENraliUIYQOiomDrVmjZUj1069NHFXp8feHmTZg2TTWAtjVZU2RlVYtV+Dfz597ze5SdWZYe63rw6MUj3dGE+GDRKQJlAa7+6etrv3/vv3QA1n9IKCEADt88TJU5VYgyo9juuZ3iGYvrjiTeh2mqRz/PnqlZnxqX2TdrBkOGwLx58P332mLEmkrZKzGv4TwCrwbSdmVbIqMidUcSQgj9IiKgTRv1ZGD4cDVKUgpAQryTGzfUjI88eaB6ddi4UV3uHT+uejB6eUHSpLpTfriGBRpyuttpupXqxuSDk8k/OT9LTy6VxtHCpll0zathGG0AF2DMf/x5Z8Mwgg3DCL57964lTy3szJ7f9uA2140k8ZOwu/1uCqe3826+9mzRItWUZ/hwKFBAdxq8vaFVK/jmGzWozN41K9SMHz/5Eb/TfnRb100uWoQQcVt4ODRvrrYo//ADDBqkO5EQNiMiQl3S1a8P2bKpa6kcOdSl3o0b8PPPUKSI7pSWlzxBcia6TySoUxCZk2WmhV8Lai+szYUHF3RHE+K9RKcIdB3I+qevP/r9e39hGEZ14Bugvmma/9pxwzRNH9M0XUzTdEmXLt375BVxwMaQjXwy/xMyJc3E7va7yZ06t+5I4n3dvAk9ekDZsmp9sBUwDJg1S00Ma9cOdu3SnSjm9SnXh/4V+jP90HS8t3vrjiOEEHq8fAmNG6v+dBMmwJdf6k4khE04fx4GDFCFn08/VT1+vvpKff/1VrCECXWnjHkumV0I6hjEhFoT2Ht1L4WmFGLYzmG8ePVCdzQh3kl0ikAHgTyGYeQ0DMMJaAGs+fMLDMMoAUxHFYDsfPaOiEl+p/yot7ge+dLmY1f7XWRNkfXtPySsU1QUeHpCWJjaBhZL08CiI0ECdQ+QM6e6mDlzRneimPd9te/pUKIDI3aP4Of9P+uOI4QQsSssTL3hBwSoJiU9euhOJIRVe/ZM7ZisXBny5oWxY9VErzVr4Lff1Faw3GCTUh8AACAASURBVHHwOe3rxtFnup+hQf4GfLvjW4pMLcLGkI26owkRbW8tApmm+QroDmwETgPLTNP81TCMYYZh1P/9ZWOApMBywzCOGoax5j8OJ8R/8jnkQ7MVzXDJ7MJ2z+2kT5JedyTxIX76CTZvVv/Ol093mn9InRrWr4f48cHd3f5HxxuGwbS602hUoBG9NvZiwfEFuiMJIUTseP4c6tVTTUt8faFLF92JhLBKpglBQeqvSKZMasX0rVuqj+LVq7BqlfqrpLG9o9XInCwzS5ssZVObTRgY1FpYi6bLm3Lt8TXd0YR4K0NXfwgXFxczODhYy7mFdTFNkxG7RuC9w5vauWuzvOlykjgl0R1LfIjDh9UWsDp1wN/fqhtuBgWBq6vaw75tGySx8//0Xrx6gftCd3Zd2cWqFquom7eu7kjCjhmGccg0TRnraGXi1DXY06dQty7s3q1WpbZtqzuREFbn7l1YsEDVSH/9FRInhqZNoUMHNerdii/jrMLLVy8Zs3cMI3ePxNFwxLuKN73K/o+9+w6Tqrr/OP6+M7OVztJ7l957URHErgiKYqKoCLGXGKPGlkSNEhUjyk/FLoK9gCKigIJ0lt57r8sCC9tmd2bO74+z66JBhcDOnZ35vJ7nPNMuzJfLljOfe8rdxHvj3S5NYthv9cFO68LQIicrZELcMfkOHv3hUa5tfS0Trp6gAKiky8qyk8OrVIHXX4/4nkPnznaB6NRU2+HJz3e7ouKV6Evki6u/oF31dlzx0RV8t+k7t0sSESkeR4/C+efDrFn2E64CIJGfBAJ2duTAgVCjhl26sUwZGDPGLun49tvQq1fEd+MiQoIvgYfPfJjVt66mT4M+3D/1ftq80oapm6e6XZrIcSkEEtf4A36u+fQaRi8czb3d7uXt/m8T541zuyw5VXffbVcKHDsWUlLcruaEXHaZXSJi8mR71SsUcrui4lU2oSzf/OEbzqh0Bpd9cBkzts5wuyQRkdMrIwPOOw/mz7dJ/+DBblckEhHWrLGLOteubad2zZplu26rVtmt3YcNg7Jl3a6yZKpfoT4Trp7ApGsmkR/M59yx53Llx1eyI2OH26WJ/IxCIHHF4dzDXDDuAj5c9SH/7vtvnu33LB5HX44l3ief2NE/DzwAvXu7Xc1JGTbM7mI/dizcf7/b1RS/lOQUvrv2O+qVr8dF4y9izo45bpckInJ6HD4M/frBwoXw0Ud2mKdIDDt8GF591c7Ub97cLtfYpYtd42fnTnjmGfu8nB4XNr6Qlbeu5PHejzNp/STOeOkMnpj5hHYRk4ihT90SdtszttPzzZ78uP1H3u3/Lvf10BatUWHzZpukdO4M//iH29X8Tx56CG6/3e6A8eyzbldT/KqUqsK066ZRvUx1Lhh3Aam7Y2SNEBGJXgcPQt++sGQJfPopXH652xWJuCIYhG+/tYPgqlWDm2+2M/affRZ27bIB0GWX2Q0y5PRL9CXy8JkPs+a2NVzU5CIe+f4Rmo9uzoS1E3BrTV6RQgqBJKyW7l1K19e7suPIDr75wzdc20bz86NCTo6dVA522H0J7VE4DrzwAgwaBPfdZ7dGjXbVy1Rn+nXTqZhUkX5j+7F4z2K3SxIR+d+kp9sAaMUK+PxzuPTS3/8zIlFmzRo7ILtuXTsj8ttv7TW61FRYvhzuvdcu2yjhUbd8XT6+8mOmXTeN5Lhk+n/Yn/PHnc+atDVulyYxTCGQhM2UjVPo9VYvvB4vs26YRZ8GfdwuSU4HY+C222DpUrvwZoMGbld0SjweePdd+znixhvtheRoV7tcbaZfN50yCWXo824fFuxa4HZJIiIn58AB6NMHVq+GCRPs7pQiMSI9Hf7v/+wUr+bN7Wiftm3tbMjdu+HFF6FDBy3y7KZz6p/Dkj8t4YXzX2D+zvm0erkVd39zN4dyDrldmsQghUASFq+kvsJF4y+iYYWGzBs6j1ZVW7ldkpwur78Ob70Fjz4aNZ3uhAQ7TLpbNzuM+uuv3a6o+NWvUJ+Z18+kQmIF+r7bV2sEiUQIx3HOdxxnneM4Gx3HeeA4r//ZcZzVjuMsdxxnmuM4dd2o01WFAdC6dTBxot0RTCTK5eXZvHPAAKhe3V6Py82F556z072++souh5WQ4HalUijOG8edXe5kwx0bGNZ+GC8ueJHGLzbm5YUvEwgF3C5PYohCIClWgVCAuybfxS2TbuG8Rucx84aZ1Cxb0+2y5HRZuNAuonPeeTYEiiKlSsGkSdC6te1gTZ/udkXFr275usy8YSbVSlfjvPfOY+a2mW6XJBLTHMfxAqOBC4DmwGDHcX65fOsSoKMxpjXwCfDv8FbpsrQ0OOccWL/eBkD9+rldkUixMcZueHf77XZb9/79YfZs+3jJEli2zG71XrWq25XKb6lcqjIvX/wyi4cvplXVVtz69a20e7Ud3236zu3SJEYoBJJik5GbwSXvX8KoBaO4u8vdTLx6ImUTtOdk1DhwAK64wl5+GjcOvF63KzrtypWDKVOgcWO7tMScGBgcU6tsLWZcP4PaZWtzwbgLmLZ5mtslicSyzsBGY8xmY0we8AFw2bEHGGO+N8ZkFzycB9QKc43u2b/fBkAbNsCXX8K557pdkUix2LLF7mDatKnd4ev11+3gt0mT7KifkSPt9C8pWdpUa8P066bzyZWfkJWXRb/3+nHJ+5ew7sA6t0uTKKcQSIrF5kOb6f5md6ZunsqrF7/K8+c/j9cTfSFBzMrPh6uvhr177bbwKSluV1RsUlLgu+/sFbcLLrALK0a76mWq88P1P9CwQkMuGn8RE9ZOcLskkVhVE9hxzOOdBc/9mqHA5GKtKFIUBkCbNtl5L337ul2RyGl18KDd1r1XL7vc4qOP2utur78O+/bBhx/ChReCz+d2pXIqHMdhYPOBrL5tNSP6jmDG1hm0fLkld02+i4M5B90uT6KUQiA57aZtnkan1zqx5+gevv3jtwzvMNztkuR0MsaOO542DcaMgY4d3a6o2FWrZv+5FSvazxkLF7pdUfGrUqoK3w/5nrbV2jLgowG8ueRNt0sSkd/gOM4fgY7AM7/y+nDHcVIdx0lNS0sLb3GnW2EAtHmzDYD6aKMJiQ65ufbaWv/+Rdu6p6fDk0/C1q3www8wdKgdqSzRJdGXyF97/JWNd25kaLuhvLTwJRqOasjIuSPxB/xulydRRiGQnDbGGEbOHUm/9/pRrXQ15t80n971e7tdlpxuL7xgw58HH4QhQ9yuJmxq14YZM4qCoPnz3a6o+KUkpzD1uqn0bdCXoROH8u/ZsbXUiEgE2AXUPuZxrYLnfsZxnL7AQ8ClxpjjflowxowxxnQ0xnSsXLlysRQbFscGQJMm2fsiJVgwCFOnwg032LV8rrwSFiyAO+6AxYth1Sr429/slu8S/aqUqsIrF7/C0j8tpUvNLtz77b00/7/mfLzqY4wxbpcnUUIhkJwW2fnZXPv5tdz77b30b9qfeUPn0Tilsdtlyen21Vd2xcEBA+CJJ9yuJuzq1LFBUOXKdumJuXPdrqj4lY4vzZeDv+Tqlldz/9T7ue/b+9QJEQmfhUBjx3HqO44TD1wNTDz2AMdx2gGvYgOg/S7UGD6/DIB660KTlEyFCzzffTfUqmX7FJ99BgMHwrffwo4ddpevdu20rXusalW1Fd/88Ru++cM3lIorxaBPBtHjzR7avVVOC4VAcsq2Ht5Kzzd7Mn7FeJ7o/QSfXPkJZRLKuF2WnG7Lltl1gNq3h3ffBU9s/vioXdsOx65a1W5CM3u22xUVv3hvPOMGjOP2Trfz7Nxnue6L6zQ0WSQMjDEB4HZgCrAG+MgYs8pxnH86jnNpwWHPAKWBjx3HWeo4zsRf+etKNgVAEgVWroSHHoJGjewCzy+/DN262Slge/fCm2/aQCgK99qQ/9F5jc5jyZ+W8Polr7P18FZ6vNmDAR8O0OLRckoct67oduzY0aTGwgqrUW7S+klc+/m1hEyIcQPGcVGTi9wuSYrDnj3QpQuEQnaMco0ablfkul277OeRXbtgwoTYWJLCGMO/fvwXD3//MGfWPZPPBn1GSnL0Lgoup85xnEXGmOhfOKyEKXF9MAVAUoJt2GAXcf7wQxsCeTx2WvngwXD55VrfR05cVl4Wz897nhGzR5CTn8PwDsN57KzHqFq6qtulSQT6rT5YbF7Kl1MWCAX427S/cfH7F1O3fF0WDV+kAChaHToE551nt6n48ksFQAVq1rQjgurXt7tzfPGF2xUVP8dxeOjMhxg/YDzzd86n2xvd2Hhwo9tliUg0S0uzKbsCIClBtm2DZ56xe2c0aQKPPALly8OLL8Lu3TBlClx/vQIgOTml4kvx8JkPs+nOTdzc8WZeW/waDUc15LHvH+OI/4jb5UkJohBITtrezL30fbcvT816imHthzHnxjk0rNjQ7bKkOGRnwyWXwNq1NuVo187tiiJK9ep2jaB27eCKK+wsuVgwuNVgpl03jYM5B+n6eldmbZ/ldkkiEo0KA6DCbeAVAEkE27EDRo6007zq1YO//tWO+nnuOdi+HX780W6uWlWDNuQUVSlVhZcufIlVt67iwsYX8s+Z/6ThqIaMmj9K0/XlhCgEkpPy3abvaPdqOxbsWsA7/d9hzCVjSIpLcrssKQ75+XaLijlzYPx4O3ZZ/kvFinZXj7PPtpulvfii2xWFR486PZh30zxSklPo824f3lryltsliUg0OXDA/t7ZsMGOQtUuYBKBduyA55+H7t3t5hH33gt5efDUUza7XLDA7qdRu/bv/10iJ6tJShM+uvIjFty0gNZVW3PXN3fRdHRTxi4bSzAUdLs8iWAKgeSE5AXz+Ot3f6Xfe/2okFiB+TfN57o217ldlhSXUMjuVfr11/DKK3aYi/yq0qXtRer+/eHOO+Gxx+zOH9GuUcVGzB06l151enHjxBu54+s7yA/mu12WiJR06ek2AFq/3gZAsbDompQY27YVjfipU8eGPNnZdtPU9evttu4PPAANGrhdqcSKTjU7MfXaqUz54xQqJFbgui+uo+2rbZmwdoJ2dJXjUggkv2vjwY30eLMHz8x5huHth5M6PJVWVVu5XZYUF2Pgnntg3Dh48kkYPtztikqExET4+GObnf3zn3DjjXYwVbSrmFSRb/74DX/p9hdeWvgSfd7tw77MfW6XJSIl1cGDNgBatw4mTtQoVIkI69fb0T0dO9qpXoUjfv71L/va0qV216/Gjd2uVGKV4zj0a9iP1OGpfHjFh+QF8+j/YX+6vdGN6Vumu12eRBiFQPKrjDG8s/Qd2r3ajk0HN/HpoE959ZJXSY5Ldrs0KS7G2J7NqFE2CHrwQbcrKlF8PnjjDTsS6O234aKL4EgMrNPn8/h4pt8zjBswjtTdqXR8rSMLdy10uywRKWkOHbKhz5o1dtvFc891uyKJUcbAsmX293mrVnDGGfC3v9mt20eMgI0b7YifBx9U8CORxeN4GNRiEKtuXcXrl7zOrqO76PNuH/q824e5O+a6XZ5ECIVAclxpWWkM/Ggg10+4nvbV27Ps5mUMaDbA7bKkOBWOAHr+eTun6bnnwHHcrqrEcRz4+9/hzTfh+++hVy/YudPtqsLjmlbXMGfoHLyOl55v9eTF+S9qGLKInJjDh23os2qV3YigXz+3K5IYEwrZZRD/8hdo1AjatoXHH4cKFeA//7GLO8+fbxd8bqj9UCTC+Tw+hrYfyoY7NvD8ec+zcv9Kur/ZnYvGX8TiPYvdLk9c5rjVQe/YsaNJTU115b3lt01YO4FhXw4jw5/Bk+c8yT1d78Hr8bpdlhQnY+Cuu+yqxnffbSe7KwA6Zd99BwMHQtmydlmLWNlcLT07nesnXM9X67/i8qaX88alb1AhqYLbZYkLHMdZZIzp6HYd8nMR1wfLyLAB0NKl8PnndhilSBjk5sL06TZ3nDgR9u2DuDg7IO3yy+HSS7Wbl0SHzLxMXlrwEv+e/W8O5R5iQLMB/P2sv2uJjyj2W30wjQSSn2TkZnDDhBvo/2F/apWtxaLhi/hL978oAIp2xsAdd9gA6N57FQCdRueeC7Nm2dPZowd89JHbFYVHSnIKE6+eyHP9nuPL9V/Sfkx75u+c73ZZIhKJjhyB886zAdCnnyoAkmKXng5jx9oNUCtXtl9yH3xgd/l8/31IS7P7YgwbpgBIokfp+NI80PMBtty1hcfOeoypm6fS+pXWDPp4EKv2r3K7PAkzhUACwMR1E2n+f80Zu2wsD/d6mHk3zaNllZZulyXFLRiEP/0JRo+G++6DZ55RAHSatW4NqanQvj1cdRU8/LAdch7tHMfhz93+zKwbZmGMoedbPRkxa4S2LBWRIkePwgUXwKJFdmX9Sy5xuyKJUuvX21nuZ50FVarAddfB7NlwzTUwebINfj74AK6+GsqVc7takeJTLrEcfz/772y5awsP9XqIyRsn0+rlVgz+dDBr0ta4XZ6EiaaDxbh9mfu485s7+WjVR7Su2po3Ln2DjjU0cj8m5OTY3s8XX9hk4p//VABUjPx+uO02u3D0pZfaq5Bly7pdVXgcyjnEsC+H8emaT+lRuwfv9H+HhhW1oEIs0HSwyBQRfbDMTBsAzZ1rh0kO0LqDcvrk59uQ58sv4auvbAgE0KaN/R186aX24oxHl8MlxqVnp/Pc3OcYNX8U2fnZDGoxiEfOfIQWVVq4XZqcot/qgykEilHGGMYuH8s9U+4hMy+TR898lL/2+Ctx3ji3S5NwOHjQ9oDmzLE7gd1+u9sVxQRj4KWX7PrbTZrYmQ/NmrldVXgYYxi3Yhy3f307gVCAkeeNZFj7YTgKHqOaQqDI5HofLCvLzsGZNcvOv7nySvdqkaixf78d1TNpEnz7rV1qKj4ezjkHLr7Ytrp13a5SJDIdyD7AyLkjeXHBi2TlZXFliyt55MxHNDOkBFMIJD+zOm01t319Gz9s/YHutbvz+iWv06xyjHwSFdixA84/3+5v+t576ny7YPp0O+Q8OxtefRX+8Ae3KwqfHRk7uGHCDUzbMo0LG1/ImIvHULNsTbfLkmKiECgyudoHy862n8ZnzLC/gwYPdqcOKfFCITvdevJku4bPwoX2Ykv16nDhhTZnPPdcKF3a7UpFSo707HSen/c8o+aP4mjeUQY0G8BDvR6iffX2bpcmJ0khkAB2VfjHZzzOyHkjKRNfhqf7Ps1N7W/C42gsbMxYvtz2io4csdPAevd2u6KYtXu3DYJ+/BGGD4cXXoDERLerCo+QCTF6wWjun3o/Po+Pp/s+zc0db9bPoiikECgyudYHy821o1CnToV334U//jH8NUiJlpZmR/lMngxTpsCBA3Yme+fOtntz0UV2a3dN8xI5NQdzDvKfef9h1PxRZPgzuKjxRTx85sN0rdXV7dLkBCkEinHGGD5b8xn3TLmHHUd2cGPbG3m679NULlXZ7dIknD791K6EWL68vWTWpo3bFcW8QAAeeQSeftp2Wj/6CBo3druq8Nl0cBM3T7qZqZun0r12d1675DWaV27udllyGikEikyu9MH8fujf335yf/NNuP768L6/lEj5+TBvHnzzjf3SWbzYjvapVMkOar7gAujXzz4WkdMvIzeD0QtHM3LuSNJz0jmn/jk81OshetfrrSn9EU4hUAxbsmcJd0+5m5nbZtK6amtevuhlutfu7nZZEk6hkF30+R//gK5d4bPP7FhpiRiTJtl8zu+H//wHhg6NnTW6j12f7Kj/KA/0fIAHej5Aclyy26XJaaAQKDKFvQ+WlwcDB9oVel97DW66KXzvLSWKMXa2+rff2vb993YTOa8XunWD886zrUMHjfYRCafMvExeTX2VZ+c+y97MvXSp2YW/9fobFze5WCO5I5RCoBi0N3MvD017iLeWvkVKcgpP9H6Coe2H4vP43C5Nwikz06YLn39ur7q+/HLszDkqYXbutP9F06bZ2RKvvWa3sY0V+7P2c8+Uexi/Yjx1ytXhuX7PMbDZQF1lKuEUAkWmsPbB8vNh0CA7Bfnll+Hmm8PzvlJipKXZtfKmToXvvoNt2+zz9evbUT79+kGfPtq6XSQS5AZyeXvp24yYPYKth7fSonILHuj5AFe1uEobDEUYhUAxJDMvk5FzR/LMnGfwB/zc1eUuHj7zYcol6jdnzFmzxna8V6+G556Du+6KneElJVQoZNcGevBB29l98027vkEsmbF1Bnd+cyfL9y3nnPrn8ML5L2hnihJMIVBkClsfLBCwCz9/8gm8+KJ2ohTAjuyZNcte9Jg2DZYutc+XK2eXKiwMfho2dLdOEfl1gVCAD1Z+wFOznmJ12mrqlqvLvd3uZWj7oRrNHSEUAsWAvGAer6a+yuMzHyctO40BzQYwou8IGlVs5HZpEm7GwFtvwR13QKlSMG6c3R5DSoyVK+2OYcuXw5AhMHIkVKzodlXhEwgFGLNoDA9Pf5gj/iMM7zCcx856jKqlq7pdmpwkhUCRKSx9sGDQLvz8wQf2QsSf/1y87ycRKycH5s61U7umT4cFC2w+GB8PPXpA3762tW8PPg1YFylRQibEpPWTeHr208zZMYeUpBTu6HwHt3W+jUrJWqzLTQqBolgwFGT8ivE8+sOjbD28ld71evNUn6foUquL26WJG44etUPtx4+3l9Peew9q1HC7Kvkf+P12Gad//xtSUuCll+CKK2JrMFd6djqPfv8oYxaPIcGbwL3d7uUv3f9CmYQybpcmJ0ghUGQq9j5YMAg33ABjx8KIEfDXvxbfe0nEyc21izn/8IMNfubNs8tCeb3QqROcc45t3btDUpLb1YrI6TJr+yxGzB7BV+u/IsmXxI3tbuTP3f5MgwoN3C4tJikEikKFQ/Aen/k469PX065aO57u+zTnNjhXa2jEqtRUO+x+82abHjz4oO1xSYm2bJldKHrRIrjsMhg9GmrWdLuq8NqQvoGHpj/Ex6s/pnJyZR458xGGdxhOgi/B7dLkdygEikzF2gcLhWDYMDuf9Ykn4KGHiud9JGJkZcGcOTBzJsyYAfPn29DH44F27ew1qbPPhl69oGxZt6sVkeK2av8qnpv7HO8tf4+gCTKw2UDu634fnWp2cru0mKIQKIoEQgHGrxjPEzOfYMPBDbSu2prHznqM/k37a2X2WOX3292/Roywu36NH297WhI1AgG7a9ijj9qh8o89Zmf7xce7XVl4Ldi1gPun3s8PW3+gZpmaPNDzAW5qfxOJPi12HqkUAkWmYuuDGQO33AKvvmp/YP3jH6f/PcR1Bw7A7Nnw44+2LV5sf095vXZK11lnwZln2q5I+fJuVysibtl9dDej5o/ildRXyPBn0LNOT+7tdi+XNLkEr0cXqoubQqAokJOfw1tL3+K5uc+x+dBm2lRtw2NnPcZlTS9T+BPLUlPtllKrVtmh9yNHqscVxTZtsut7T5oETZvCqFGxt9yTMYZpW6bxjxn/YNb2WdQoU4P7e9zPsPbDSIrTvIJIoxAoMhVLH8wYuPNOO3f1wQfhySdja/5qlDLGDjCeNcsGP7Nm2X0nABISoHNn6NnTBj/du0MZzdYVkV846j/KG0ve4D/z/sO2jG00rNCQu7vezfVtr6d0fGm3y4taCoFKsIM5Bxm9YDQvLniRtOw0OtfszIM9H+TSMy5V+BPLcnLs6J9nnoFq1ex+4hdc4HZVEiaTJsHdd8PGjXD55fDss9AgxqZbG2P4YesP/GPGP5ixbQZVSlXhjs53cEvHW0hJTnG7PCmgECgyFUsfLDvb7uPds6ddzEwBUImUm2tH9syZYxdznjMH9u61r5Uvb4Oenj3tKJ+OHSFRAzFF5AQFQgG+WPsFz819jnk751E+sTzD2g/j9s63U6dcHbfLizoKgUqgtQfW8tKCl3h76dtk5WdxYeMLub/H/fSq00tr/sQyY2DiRJsAbN0KN95oR/+UK+d2ZRJmfj88/7xdciMvz87AePhhqFzZ7crCb8bWGYyYPYLJGyf/tBDhPV3voWFF7S/sNoVAkanY+mA5OTYVUD+lRDAGduywYc+8ebYtWgT5+fb1hg2hWzcb+vToAc2b23V+RERO1dwdc3lh/gt8svoTAAY0G8BdXe6ie+3u+qx7migEKiFCJsTkDZMZtWAU3276lnhvPINbDubebvfSqmort8sTt23YYOcCTZ5se2IvvWRXW5SYtnu3XXbjjTfsLiv33Wd3Yi4dg6NrV+5fyci5I39aiPCSJpdwW6fb6NOgj0ZOukQhUGRSHyw2HT1qZ5HPn2+3aZ83D/bssa8lJUGHDnakT7dutlWt6m69IhL9dmTsYPTC0YxZNIZDuYfoUL0Dd3S+g6taXqU1H0+RQqAItz9rP28vfZsxi8aw6dAmqpeuzq2dbmV4h+FUKVXF7fLEbRkZ8PTTdsRPQoL9xH/77RAX53ZlEkHWrbOb8Hz6KVSpYndkvvlmKFXK7crCb/fR3YxeMJrXFr9GWnYajSs25tZOtzKkzRAqJFVwu7yYohAoMqkPFv3y8mD5cli40LYFC2D1ajv6B6BRI+jSxYY9XbtC69bqVoiIe7Lyshi7fCwvLniR1WmrqZxcmeEdhnNzx5upVbaW2+WVSAqBIlDIhJi+ZTpjFo3hi7VfkB/Kp1edXtza6VYGNhtInFe/iWNebq7dD/xf/4KDB+Haa+06C9WquV2ZRLB58+y0sGnToFIlOyrotttic1tef8DPJ6s/YfTC0czdOZckXxIDmg3gxnY3cna9szU6KAwUAkWmWO+DRZtAwC7WnJpa1JYutUEQ2N8FnTrZ0KdLF3s/RUuniUgEMsYwfct0Ri0YxZfrvsTjeOjftD+3dbqNs+udraliJ0EhUATZkL6BscvHMnb5WLYe3krFpIpc3+Z6bmp/E80qN3O7PIkEgQC8+67dB3znTjjvPBsEtW/vdmVSgsydC48/bmcPVqhgN+259VY7SigWLdmzhDGLxvD+yvfJ8GdQr3w9hrQZwpA2SiWHzgAAIABJREFUQ6hfob7b5UUthUCRKVb7YNEgELAjehYvtuv3LFpkA5+cHPt66dK2u9C5sw17OneGunW1TJOIlDxbDm3h5dSXeWPJGxzMOUjzys25teOtXNvmWsomxODVzZOkEMhlB7IP8MnqT3h32bvM3TkXj+Ohb4O+DGkzhAHNBmi+o1h+vw1/Roywe4F36QJPPaV1f+SUpKbaxaMnTLCzCf/wB7jnHmjZ0u3K3JGTn8Pnaz/nraVvMW3zNAyGrrW6MrjlYK5sfiXVy1R3u8SoohAoMsVSH6wky82FFStgyRIb+ixZYqd45eba10uVgnbt7Fo+nTrZ2yZNtHiziESXnPwcPlz1IaMXjiZ1dyql40vzh1Z/4JaOt9CmWhu3y4tYCoFccCjnEF+s/YIPV33I1M1TCZogLSq3YEibIVzT6hpqlq3pdokSKTIz7Rbvzz5rV/nt0MHO57nsMl26k9Nm7Vp44QV45x17xbhvXzs66IILwOdzuzp3bM/Yzvsr3uf9le+zbN8yPI6Hs+udzRXNrqB/0/4KhE4DhUCRKdr7YCVRejosW2aDnqVLbVuzBoJB+3r58jbwKQx9OnSAxo0V+IhIbFmwawGvpL7C+yvfJzeQS9daXbml4y1c2fxKkuKS3C4voigECpP9Wfv5ct2XfL72c77d9C35oXzqla/HVS2u4qoWV9G2WlvNY5Qi27fDK6/AmDG293f22fC3v9lP5/o6kWKSnm6/5F56yWaONWvC0KG21anjdnXuWZO2hg9WfsD7K99nw8ENAHSt1ZXLm17O5U0vp3FKY5crLJkUAkWmaOyDlRTBIGzcaAOfY9vOnUXH1KwJbdva1r69DX7q1VPXQESk0KGcQ7yz7B1eSX2FdenrKJ9YnutaX8fwDsNpUaWF2+VFBIVAxWhD+ga+XG+Dn9nbZ2Mw1ClXhyuaXcFVLa+iU41OCn6kiDHwww/2E/gXX9jnLrnEbuXUvburpUlsyc+HSZPg1VdhyhT74eL882HIEPslmRSjF1OMMaxOW83naz/n87Wfs3jPYgAaV2zMhY0v5IJGF3BWvbM0jfcEKQSKTNHSB4t06el2OteKFXYa17JlsHJl0fo9Ph80bQpt2tjAp/C2cmV36xYRKSmMMczYNoMxi8bw6ZpPyQvm0aN2D4a1H8aVLa4kOS7Z7RJdoxDoNMrJz+GHrT8weeNkvt7wNZsObQKgTdU29G/an/5N+9OmahsFP/Jze/fCe+/BW2/ZFR0rVoRhw+we3vXquV2dxLitW+GNN+DNN+3ooDJl4Ior7PpBZ58NXq/bFbpne8Z2Jq6byOSNk5m+ZTq5gVyS45I5u97Z9Knfhz71+9CqaivtNPYrFAJFppLaB4tUfr+dulUY+BSGPrt3Fx2TkmJDnjZt7HbsbdpA8+Z2rTYRETl1aVlpvLvsXcYsHsP69PWUTSjLNS2v4ab2N9GhRge3yws7hUCnIBgKsnTvUqZunsq0LdP4cfuP5AZySfIl0bt+by5sdCEXNr5Qu8vIf/P74auv4O237RZNwSB062bDn6uvjt2hFhKxgkGYMcPmlZ98AkePQrVqcPnlMHAgnHkmxMW5XaV7Ci8CfL3ha77b/B3r0tcBUDm5MufUP4ez6p7FmXXPpFnlZgqFCigEikwlpQ8WaYJB2LLFhjwrVxbdrl9ftHZPfDw0a2aDntatoVUr26pX13QuEZFwMMbw4/YfeX3x63y8+mNyA7m0rdaWoe2Gck2ra6iYVNHtEsNCIdBJCIaCLN+3nJnbZjJz+0y+3/I9h3IPAdCySkv61O/DBY0u4My6Z2rxKflvfj989x18/LGd7nXkCNSoAdddB9dfD2ec4XaFIickJwe+/BI++shmmNnZdgDbpZfa1revHTEUy3Ye2cm0zdOYtsW23UftZf+KSRXpWacnPWv3pFvtbnSo3iFmf18oBIpMkdoHixTG2DV6Vq60bdUqe7t6ddFULseBBg3sTouFQU+rVnax5lhdbF9EJNIcyjnE+BXjeX3J6yzdu5R4bzyXN72cG9reQN8GffF6one4u0Kg35CZl8nCXQuZu3Mus3fMZtb2WRzxHwGgbrm6nFP/HPrU78M59c/RTjFyfEeP2uBnwgTbMjLsNh6XXw5XXWU/LcfyfBop8bKz7bpBn31mg6GMDDsiqFcvuPBCu8NYs2axfZXbGMPmQ5v5cfuPzNw2kx+3/8jGgxsB8Hl8tKnahq61utK5ZmfaV29P00pN8Xmi/5OiQqDIFCl9MLcZA/v3F4U8hbcrV9prOIVq1LBhT4sWNuhp2dJO5SpVyr3aRUTk5CzZs4S3lr7FuBXjOJhzkFpla3Fd6+sY0nYITVKauF3eaacQqEB+MJ9VaatYtHsRC3cvZN7OeazYv4KQCQHQrFIzzqx7Jr3q9KJX3V7UKRfDW+XIrzPGbu3x9dd2uteMGXaV3fLloX9/GDQI+vSxY8JFokxeHsyZY0cHff21/bAEdqpD7962nXMO1K8f26EQwL7MfczfNZ95O+cxf9d8FuxaQGZeJgBJviTaVmtLh+odaFutLa2rtqZFlRZRt4ChQqDIFIshUHq6DXl+Gfikpxcdk5JSFPYce1sxNmYOiIjEBH/Az8R1E3lr6VtM2TSFkAnRrVY3hrQZwlUtr6J8Ynm3SzwtYjIEysrLYsX+FSzbu4xl+5axaM8ilu1dhj/oB6BcQjm61OpC15pd6Va7G51rdo6Z+YHyP9i9G6ZPh2nTbNuxwz7frBlcfLFt3btrDLjEnB077Cih6dNt27fPPl+7NvToYVv37nZtjFj/9giGgqxLX8fiPYtZtHsRi/YsYsneJT8FQw4OjVMa06pKK1pUbkHzys1pXrk5TVKakOArmavHKgSKTNEcAh05YqdtHRv0rFoFe/YUHVOmjA13fhn4VK2q8FpEJJbsPrqbccvH8c6yd1iVtooEbwKXnHEJ17a+lvMbnU+8t+Re1I+pEOhfP/6Ld5a9w4b0DRjsv61sQlnaV29Ph+od6FijIx2qd6BhxYZauFOOLxSCtWth9uyittFO66BiRTvUoU8f6NcPGjZ0t1aRCGKM/daZNg1+/NF+6+zaZV8rVQo6dixqnTrZ9TRi/QNXyITYcmgLy/ctZ/m+5Szbt4wV+1ew+dDmn0apeh0vDSo0oElKE85IOYMmKU1oktKERhUbUbNszYj+XaYQKDJFQwiUm2t35CqcvlXYtm8vOiY52YY7ha0w7KlVSz97RESkiDGGRXsWMXbZWMavHM+B7AOkJKVwdcur+WPrP9KlZpcSt/t3TIVAz855ljk75tCmahvaVGtDm6ptqFe+Xon7T5MwKVz9MTX15+3gQft6pUp2KEPPnjb4adMGPJH7gUskkhhjRwrNmWMDoYULYelSu3462BmUhVslF+6k06KF1tkAuxPZ+vT1rE5bzeq01axLX8e69HVsSN9ATiDnp+PivfHUL1+fhhUb0rBCQ+qVr0fdcnWpV74e9crXo2JSRVd//ykEikwlKQQKBmHz5qKt1wt35dqwwV6zAbtGWbNmPx/Z07Il1KunX9kiInJy8oP5TNk0hbHLxzJh7QT8QT8NKzTkmlbX8IdWf+CMSiVjo5+YCoFEflVWlr1suHy5bStW2NsDB+zrPp/tNXbsaOev9Ohht/lQgChy2uTn26kZhXlr4bdiZmbRMXXq2A90zZvb2yZN7Leitli2I4d2HdnFuvR1bDq4ic2HNrPp0CY2HbL3Czc2KJQcl0ztsrWpXa62vS1bm5pla1KjTA1qlrG3lUtVLrbRRAqBTp3jOOcDLwBe4HVjzNO/eD0BeBfoAKQDVxljtv7W3xmpfbC0tJ//el6xwv68OHZHrkaNikKewp25GjWyQZCIiMjplJGbwWdrPmPcinFM3zIdg6FD9Q4MbjmYq1peRa2ytdwu8VcpBJLYkZ9vx4Jv3AibNtm5KYWtcB0fsGPEW7a0Qw/atrXBT+vWkBSb2ziLuCkUgq1bYdky+4FvzRrb1q4t+vAH9tu2YUP7ga9+fXuVv7DVrQtly7pTfyQ5nHuYrYe3/tS2Z2xnx5Ed7MjYwY4jO9hzdM9PU6UL+Tw+0u5LK5aFEBUCnRrHcbzAeuBcYCewEBhsjFl9zDG3Aq2NMTc7jnM1cLkx5qrf+nvd7oPl59vv72XLbCu8NrN3b9ExVarYX8vHbr/evLn9OSAiIhJuu4/u5oOVHzB+xXgW7VmEg0Ovur0Y3HIwA5sNpHKpym6X+DMKgSR65OTYRUZ27oRt24ra9u12vPi2bXbseKHSpaFp06LWrJntVTZooDHiIhEuFLLf2hs22Fy38HbjRhsaHRsQgV3stXZtu95H7dp2W+fq1Ytuq1e3HywTSuYay6dFIBRgb+Zedh/dza4ju9h9dDd7MvfweO/Hi2XamEKgU+M4Tjfg78aY8woePwhgjHnqmGOmFBwz13EcH7AXqGx+o4MXzj7YoUM26Fm6tOh29Wq70yDYjTRbtLDTQlu1Kgp+qlYNS3kiIiInbX36ej5Y+QHvr3yftQfW4nW89GnQh0HNB3F5s8sjYsMphUAS2fx+OyUrLc3e7ttn2969Rbe7dtkdug4d+u8/X62aHQZQv74dJnBsq1FD80dEopAx9kfG1q22bdtms+EdO4pu9+2zx/1SuXI2DCpsKSl2+a/CVrEiVKhgW+H9xMRw/wujg0KgU+M4zhXA+caYmwoeXwt0McbcfswxKwuO2VnweFPBMQd+8XcNB4YD1KlTp8O2bdtOa63G2F/TixfDkiVF7di3qVbNDr5t06ZoLbAmTTSVS0RESiZjDMv2LeOjVR/x4aoP2XxoMz6Pj3MbnMugFoO47IzLqJBUwZXafqsPdkIb9hbHfHSJEsbYLToyM+2+rEePFt1mZMDhw0W3hw/bEOfgwaKWnv7zxUCOFR9ve4xVq9oFQc46C2rWLGp169rL/fp0JhJzHKcoxOnc+fjHBAKwf7/dGnrPHvsBNS3NhkP799u2fr39MXTggD3+18TH24Wsy5UramXL2tFHZcsW3S9duqiVKlXUkpOLbpOT7Y8tDUaUcDLGjAHGgL0QVxzv0bp10b4KjRtDly5w883Qrp0NfapVK453FRERcYfjOLSt1pa21dry5DlPsnjP4p8CoRsm3IDP46Nvg75c0ewK+jftT0pyitslAycQAhXMRx/NMfPRHceZeOx8dGAocMgY06hgPvoI4Dfno8spMsZ+YsnPL7o9XsvL++/m9xfd+v02xMnNtfdzcuz9nJyft6wsyM62LSvLtsxMe1u4PcdviY+3n5pSUuyl9Zo17XjvChWgcmXbCi/DV6lie4rlymkUj4j8z3w+OxiwRo3fP9YYm12npdmsujCvLrzNyPh5rp2RYcOkwtz7yJGfz0Q9EYmJdhmypKSi+4mJtiUkFN3+ssXHF90e2+Lift4Kn/P5ip4rvO/z/bw1bqxQKkLtAmof87hWwXPHO2ZnwXSwctgLcmHlOPD66/bXeZs2NhQVERGJFY7j0KFGBzrU6MDTfZ8mdXcqn6z+hI9Xf8xNX97En776E2fXO5uBzQbSv2l/qpep7l6tvzcdrMTNRx8/HubPt/eN+Xk73nPHa6HQrz/3W7eF7djHweDPXzv2cTD481b4XCDw8+cDgf9uJxK8/C88nqJPJYXtl5ewk5J+frm78JL3sZfDy5QpulxevrxG64hIVDPG5uiZmUXt6NGi3PzY28JsvTBXL8zhj83ff5nRH5vbF94/2dDpt2RlFc+Cu5oOdmoK+lTrgT7YsGchcI0xZtUxx9wGtDpmYegBxphBv/X3akq+iIhIeBhjWLJ3CZ+s/oRP13zK+vT1ODh0q92NwS0Hc3vn23//L/kfnOp0sJrAMdsqsRPo8mvHGGMCjuNkACnAb81HP6HiT9rs2TBuXNEIEsf5eTvec8c2j+fXn/u1W8cBr/f4jwub12svyxbeP/b5wubx2Euyxz7n9RZdtvV6iy7b/vJS7i8vARdeBj72EnHh5eNjLyUfe7k5MdH+XSIiclIcp2gUT6VK4XnPUOi/B3z+ciDo8QaKHu/aQiwvlh3JCvpUtwNTsFPy3zTGrHIc559AqjFmIvAGMNZxnI3AQeBq9yoWERGRYzmOQ/vq7WlfvT1PnvMkq9NW89maz/hs7Wd8s/GbYguBfrOmExgJdNoWJTyWrkKJiIhEN40Eikzqg4mIiLgvN5BLoq94Zsz8Vh/sRFYAOJn56Lg5H11EREREREREJNIVVwD0e04kBFoINHYcp77jOPHYYcYTf3HMRGBIwf0rgOm/tR6QiIiIiIiIiIiE1+8uAKP56CIiIiIiIiIiJd8JrQJsjPka+PoXzz16zP1c4MrTW5qIiIiIiIiIiJwuJzIdTERERERERERESjiFQCIiIiIiIiIiMUAhkIiIiIiIiIhIDFAIJCIiIiIiIiISAxQCiYiIiIiIiIjEAIVAIiIiIiIiIiIxQCGQiIiIiIiIiEgMUAgkIiIiIiIiIhIDFAKJiIiIiIiIiMQAhUAiIiIiIiIiIjFAIZCIiIiIiIiISAxwjDHuvLHjpAHbXHlzqAQccOm9Y4XOcXjoPBc/nePip3McHm6c57rGmMphfk/5HS72wfS9Hh46z8VP5zg8dJ6Ln85xeERUH8y1EMhNjuOkGmM6ul1HNNM5Dg+d5+Knc1z8dI7DQ+dZ3KavwfDQeS5+OsfhofNc/HSOwyPSzrOmg4mIiIiIiIiIxACFQCIiIiIiIiIiMSBWQ6AxbhcQA3SOw0PnufjpHBc/nePw0HkWt+lrMDx0noufznF46DwXP53j8Iio8xyTawKJiIiIiIiIiMSaWB0JJCIiIiIiIiISUxQCiYiIiIiIiIjEgKgNgRzHOd9xnHWO42x0HOeB47ye4DjOhwWvz3ccp174qyz5TuA8/9lxnNWO4yx3HGea4zh13aizJPu9c3zMcQMdxzGO40TM9oMlyYmcZ8dxBhV8Pa9yHGd8uGss6U7g50Udx3G+dxxnScHPjAvdqLMkcxznTcdx9juOs/JXXnccxxlV8H+w3HGc9uGuUaKf+mDFT/2v8FAfrPip/xUe6oMVvxLVBzPGRF0DvMAmoAEQDywDmv/imFuBVwruXw186HbdJa2d4HnuDSQX3L9F5/n0n+OC48oAM4F5QEe36y5p7QS/lhsDS4AKBY+ruF13SWoneI7HALcU3G8ObHW77pLWgDOB9sDKX3n9QmAy4ABdgflu16wWXU19sIg5x+p/heE8FxynPlgxnmP1v8J2ntUHO/XzXGL6YNE6EqgzsNEYs9kYkwd8AFz2i2MuA94puP8J0MdxHCeMNUaD3z3PxpjvjTHZBQ/nAbXCXGNJdyJfywCPAyOA3HAWF0VO5DwPA0YbYw4BGGP2h7nGku5EzrEByhbcLwfsDmN9UcEYMxM4+BuHXAa8a6x5QHnHcaqHpzqJEeqDFT/1v8JDfbDip/5XeKgPFgYlqQ8WrSFQTWDHMY93Fjx33GOMMQEgA0gJS3XR40TO87GGYtNPOXG/e44LhhLWNsZMCmdhUeZEvpabAE0cx5ntOM48x3HOD1t10eFEzvHfgT86jrMT+Bq4IzylxZST/bktcrLUByt+6n+Fh/pgxU/9r/BQHywyREwfzOfGm0rscRznj0BH4Cy3a4kmjuN4gJHA9S6XEgt82CHJZ2OvqM50HKeVMeawq1VFl8HA28aY5xzH6QaMdRynpTEm5HZhIiIlkfpfxUd9sLBR/ys81AeLIdE6EmgXUPuYx7UKnjvuMY7j+LDD3tLDUl30OJHzjOM4fYGHgEuNMf4w1RYtfu8clwFaAj84jrMVO790ohYmPGkn8rW8E5hojMk3xmwB1mM7JXJiTuQcDwU+AjDGzAUSgUphqS52nNDPbZFToD5Y8VP/KzzUByt+6n+Fh/pgkSFi+mDRGgItBBo7jlPfcZx47KKDE39xzERgSMH9K4DppmDFJjlhv3ueHcdpB7yK7YBoDu/J+81zbIzJMMZUMsbUM8bUw877v9QYk+pOuSXWifzM+AJ7FQrHcSphhydvDmeRJdyJnOPtQB8Ax3GaYTsgaWGtMvpNBK4r2KGiK5BhjNnjdlESVdQHK37qf4WH+mDFT/2v8FAfLDJETB8sKqeDGWMCjuPcDkzBrob+pjFmleM4/wRSjTETgTeww9w2Yhdwutq9ikumEzzPzwClgY8L1nzcboy51LWiS5gTPMdyik7wPE8B+jmOsxoIAvcZY3Tl+gSd4Dm+F3jNcZx7sAsUXq8PhifHcZz3sZ3lSgXz+h8D4gCMMa9g5/lfCGwEsoEb3KlUopX6YMVP/a/wUB+s+Kn/FR7qg4VHSeqDOfq/FRERERERERGJftE6HUxERERERERERI6hEEhEREREREREJAYoBBIRERERERERiQEKgUREREREREREYoBCIBERERERERGRGKAQSEREREREREQkBigEEhERERERERGJAQqBRERERERERERigEIgEREREREREZEYoBBIRERERERERCQGKAQSEREREREREYkBCoFERERERERERGKAQiARERERERERkRigEEhEREREREREJAYoBBIRERERERERiQEKgUREREREREREYoBCIBERERERERGRGKAQSEREREREREQkBigEEhERERERERGJAQqBRERERERERERigEIgEREREREREZEYoBBIRERERERERCQGKAQSEREREREREYkBCoFERERERERERGKAQiARERERERERkRigEEhEREREREREJAYoBBIRERERERERiQEKgUREREREREREYoBCIBERERERERGRGKAQSEREREREREQkBigEEhERERERERGJAQqBRERERERERERigEIgEREREREREZEYoBBIRERERERERCQGKAQSEREREREREYkBCoFERERERERERGKAQiARERERERERkRigEEhEREREREREJAYoBBIRERERERERiQEKgUREREREREREYoBCIBERERERERGRGKAQSEREREREREQkBigEEhERERERERGJAQqBRERERERERERigEIgEREREREREZEYoBBIRERERERERCQGKAQSEREREREREYkBCoFERERERERERGKAQiARERERERERkRigEEhEREREREREJAYoBBIRERERERERiQEKgUREREREREREYoBCIBERERERERGRGKAQSEREREREREQkBigEEhERERERERGJAQqBRERERERERERigEIgEREREREREZEY4HPrjStVqmTq1avn1tvLcezZsh+AzMPZxCX4qFSjIqXLJ7tclYhI7AgGQuRk5pJ9NIfcLD95/nyMMYADDr+4LbjvOJiC28LnzE+3gKfgdY99fOz9oltj/0oPeDwhEnwOARMEoF6pKuQFM8gJHibOk0yF+JrHrd0QImjyCYbyCZp8AiafDct3HDDGVC7u8yYnR30wERGR6LZo0aJf7YO5FgLVq1eP1NRUt95ejuO6FvfSvEsjeg/qxusPfcj2dbtpUb8Jw/91NU07NXS7PBGRqGSMYdnMNYwfMZHls9dhcHA8Hkj0QCkv+Hw4Xg94vRivFxPnxcTHYeJ9hHweTLyHUJyHYIKXYIJDMMEhFOcQTHQIJEAg0SGUCME4g0mEUGIIk2AgIUB8UoD4uAAJ8UFKJYQwnjySPAFalatAi3LlqZoIWzNn4g9l0qJcP7pXHkLpuEoABE2APTmr2ZK5kK2ZCzng3/yLf1cC97bYsc2Ncyq/TX0wERGR6OY4zq/2wVwLgSSyBIMhDuw6RJU6lehyfls69m3FN+/M5N0nPuOu3v9kyKMDueavl7pdpohI1DicdoTJb/3AF698x+EDmTheL8TF2QDI68Xx2QDI+LyEfF6I8xKK8xFK8BFK8BKKKwx/HILJHgLxDoEkh2A8BJMglACBJINJDmLiQ3iTAsQn5pOYkE9SQj6l4v2UjcuhnC+XqokhKsTnE+ccxZBv68uDo/lx1EluR48qN1I5sQEAe3PWkZr+MduzFuEPZeHgJc5Ti4N5Tdma7Scj30dWIAF/IB74ysUzLCIiIiK/pBBIADi8P4NgIEjlmhUB8Pq8XDS0N70HdeXFu9/hnX9+SvbRHG547Aq8Pq/L1YqIlAzBQJAdG/aw5PvVrE3dxM4Ne0nbdYisLD/BQAjj8eB4vTilS0Fh6OP1QJyPkM+LiS8Me7yYBC+heA/BOIdggodQgkN+kkMgwSGUAMFECMYbQqUMocQQJBqc+CDJSX4qlMnD8dpwp2ZiHh0rbMLj5P1UZylfCpUSGlAxoTYV4mpSPt62MnGVyQ4cJs2/iS0HFpDm38TWzIWAF5+nMQdzk5l3MAt/CLyhJA5nG/x5cfhzfYRy1MUQERERiTTqoQkApcom4/V5SduZ/rPnk8sk8Zcxw0kqncjHz3/NutTNPPj2LVSsWt6lSkVEItfh/UeY/M4PLJq2kq1rdpN5OBvjOHZUj8djm8+Lk5h0TOhTMMUrzoY8oXgvxushlGADn1CiHeUTSnAIJkDQ5xBMgmAChOIMoSQ7vcvEGZyEEHGJ+SQl5pFSGvKdHACala1Nn6ptaVuhIf7ACqbuHUnbCpfRuGwvKsbXJjd4lHT/NjLy95Cet50tWQs5mr+fI/n7yAtl//TvC4SSSc9LYFlGVbKChmAgl6zcRLKyEgnkxIHfwZPjwZvpEO933PpvEBEREZFfoRBIAEgslcAZHeuzbOba/3rN6/Vw5wvX06xLI1686x1u6/4oD759K617NXWhUhGRyBIMBFnw7XI+HjmJ1Qs22dDHWxD4JCbYkT4+b9GaPj6vXc8n3ouJ8xHyOYTivTbkibfr+oTiHYLxDoEkfro18XZdHxv6hDDxIXyJQRIS7Lo+pRJDxMXlEyJIsjdEi3IVaVqmCrWTk2lRriM1k1vgcbyk5foB2Je7gZ3ZyzmUt5Ogyf/p3+NzkjGUIisQxz5/GQ7nlyfeoUBYAAAgAElEQVQjP4kjeUlk5SWQl+/FnxdHblYcoZw4nILgJ97v4M0BbzbE5Rh8/pBb/yUiIiIi8isUAslP2p7ZnA+e+4qsIzmUKpv0X6+fe01PGrWuyxPXvsT9Fz3N7c8P4aKhvV2oVETEXaFQiL1b05g4ZipT3plJdlZewZo+Pnvr8eDE+Wzw47NTu/B57bSuRB+hn0b9eAjGewoWcfbYKV2FI36SIRBnCJWyoQ/xIXzJAUol5JOYmE9SQoAEr5/ycTlUjPNTIwnKxuXgcBRDAIDMfFiTAWsyPiDBU5p6pTtSt1QnysfVICuQTkpCPeqU6kB6Xhzz0/ez9NABcgqzm2Acmbke/Hlx5OX5yM/24eR7cPJs6OPLdfDkgS8HPHkGn9/gyzb4ckN48gyevKB7/0EiIiIiclwKgeQnbc5qzvh/T2Te14vpc3WP4x5Tv2VtXpz5d566/mVG3fU2wUCQS//UN8yViogUP2MMB/ceZs2CjcyfspxV8zZwaP9RcnP8GAPG6y1YxNmHUy7RjvyJsyN9KFjM2cQVrOkTb0MfE+chGGdDn2DBDl7BRAjGFYz2iYNggiGUbDCJIZxEQ8gJUTopj8rl8wl6cgGomZRC+wo1ieP9nwIfrxNH3VIdKR9fgyRvWXyeBHxOPCETZOXhb0jzb2LdkR9Yd+QHkryVKJcwnNnpG1l6aAv+UB5xJJCRVYqsXA9+fxwm14vj9+DJcXByHBLzHbx+8OYYfH7w5obw+g3evBDePIPHH8TjD+H4g3gDQcgLuPnfJyIiIiLHoRBIftKq5xnUb1mbdx7/jF79OxGfGH/c45LLJPHIuNt5csj/MfresRw5mMkfHrgMx9H6DyJSsh1Jz+TrN7/nu/dns3fbAQL5QTuqx2uDHTweSEqyj712Ohc+L8bnsVO74ryYBA8hr8dO6Yqza/uEEgpCnwQ7veunHbziIBRfMMUrLgRxBqdgWlfZJEOVMl5yOErABKmZXIVBdS6iS0pTqiaWxxjDqoxKrM34gZ3ZywiafDZnzsXnJBAw/v/6t4VMaY4GEtmf62FfXmnS/JMIBnxk5/rI9ZchNzsBcj04uR68WQ7eXAdfDnhzwZtr8OWE8OWECsKfIN48G/h48gLgz8fJD+DkByAQhGAQAgqBRERERCKNQiD5idfrYfhTg3nwkn/zxcvfMeiei3712PjEeB4ddwcjb32DsU9+ztGDmfxpxDV4PJ4wViwicuqCwRBLvl/FJy9MZunMNRicghE+HpxEX8F27QVTu7yegmldNvAhwVcQ+Njt2kOJBdO7CkOfxII1fRIhlAghH4QSCkKfeAPxIbyJAZLiAyTEBSibBMbrx2DwYKhdpiLNytbljDI1OKvKOST5yvxUt+M4tCx/AS3LX0Bu8Aibj87ngH8ne3P3kebPZ0d2FlsyM8gKeskKxhMKJpCT58Gf5/1/9s46XIqyf+OfZ2J3T3IO3Up3ChLSKCEWooKt2IViviqCgvmiYmAXdotFCAgICioYICDdeTiduzvx/P545gSK9f4EUZ/PdZ1r2dmZ2Zndo2f23vt738Qdi1iJjYxaFca7wHQEVhFqtKtEYsYlZlRilviYUQ8z7mHEfXBcjJiLiCvxB89DuoHw43pIzyMhKfwXvqsajUaj0Wg0mv2hRSDNPnTs24oug9vz+sSPGHBmT9Kqp/7iuqZlct2TF5KSnsTUx2ZRkFPE6McvwA7pXyuNRnPoEo85ZGzLYvOKbSye8T2ff7iUaHFcCT+2HQhAJsI0kJYFpoFvWWrUyw5CnUszfewg1ycc5PqEghGvwOmjnD/BeFfYxwgDYYekhBjJEY9Q2EHiYwuXlqlZVA/bpNhxLFGC4xcAEt8vzfV5nCrh+tRKaEndxDY0T+2HEAYxz2FNfiYzduUwe/caHOkhEBh+hJyiakRjNk7cwo+a4AhE3MCICuyYwIgFTp+4VKNeUR8rJjGiPqYjMeK+En5iLiLuqR/PA8eFuKPEH88Lbn1sy6T7CR044ZKjadm1Cab51F/9dms0Go1Go9FoKqA/rWt+xoV3DueSzrfwziMzuPDO4b+6rmEYXHLvGVSqmsqUO94hc2cOE969lnDC/kfJNBqN5mDheT7b1+5ixeI1fD1zOauXbiQ/txjpS6RplIk9mKEg08cEy0CaJoQsfMtAWia+VSHTJ2TgWUIJQGFR5vLxbCX8+JFgxCsi8SN+kOsDPj6JYZ96VSRRkYsEGiTVpF1aA1pUqo/NKn7IfQUAKcGR5edhYALg45EV20JWbAsrcmfyWcYuVuQVsCp/K670MDBwYklkFQhicQviJiKqMn2MEoFVMdMnjhrtikmMslwfDxHzMeIepuNB3EO4HjheMOYVOH58H+F5WKZBWrVkDm9ehxZHNqJ9rxa06NJYO0I1Go1Go9FoDmG0CKT5GfWb1abHSZ2Z9vw8Tr/xhP02hVVECMHpNxxP1TrpPHDJs9x97mPc9upVWLb+9dJoNAcX13FZ9NE3vHH/x2z6cQe+J8vr2g0DwmEwDAwjcPlYpbdK7CFUIcjZDPJ8rFJ3j6GEnjBl+T77jHiFJdJWbh/P9rAtj8pJBvXTIvhGCXvjOVhWAmfU6ctJdbtRI5Jedty+7ECthJqsK1hIdmwrroxjiRACi6jvU+JBvmOxK+qTEzcpcCMUectxHZviaIhY3CJWEkLGDETMwCwyMGMCMwpGCVjx8uYus8THivkYcV+FOcc9RMxFxByE6yFct8Jolwuej/R96jWtxQV3nEqHvi2JJOpRL41Go9FoNJq/I/pTuma/nHL1YBa89zWfvPQZJ1856Hdtc8wZPYgVx3n0mheZePEz3PjsJZim/kZYo9EcePZszeS9yTOZ+dJCNdplGiBMRLh0tCsIdjZNpGGoPB/bVkHOIRXkLMNqvMsLl1a3i7LWLr+0tj0cOH3CgdMnJDHCIG2XcMghEvJITxRIM4qHqkgvIYGWKbU4q0oPBtXuSoL5c6ekIUxapQ2gUUofvs1Zz9LsdXyTtY5NRXsAMDHxvRD5JZK4Y+E4Jm7UVqKPI1SYcxQMRwk/dolUzV0xMBwfq1iqMOdA/BGuj4hVyPVxS0e6AgHIcZXjx/dp0KYel913Bm17tjio76lGo9FoNBqN5s9Hi0Ca/dLsiIa0OaoZUx+bxQmXHP27XT3HXdiPovwSnh/7FpGkMKMePk8LQRqN5k/D83yyduWwbfVOVi/dyI9LNrB++VZyM/IDt49ARMJlwk9ZkLNpltW3y5Cl6ttDRjDqVSr8CBXoHOT6uDb4ieCFQIbBsyUywUckSDzLIxJ2SEt2SIr4OKg2LkuYNE2uSrOUFUD+Pse+uXAqT65V/z6x7ngapnQFIDdexMq8LfyQt5npO78m1ynCFCZhmUR+fhJFURs/buHHRXmmT4nAjgtEHBXoHJcYcZTTJybLqttF3MdwAsePE2T6OC7CVeHOpW4f6ftluT4JiTbt+7Wh//ButO/TipT0pIP5Fms0Go1Go9Ec0mRmwksvwYYN0K4dnHEGJCf/1Uf1+9EikOYXOeWaYxl36iQ+fWMRA8/u9bu3G37tEEoKSnh94kfkZRbwn+cv1aMDGo3mfyJzZzYrFq3lqxnfs+zz1WTvyVftXaYBQgSZPiakJJeLPraFNE3l8rEMFeZsCbyQiQyCnH1T4EeCBq+QavHyg1yfUrePDAUjXmGfhGQLBwfD8GlWPYK0Cynyi0mzk+iQ3oSWlerTMvUwmqbUIeZn89z6Wb96XrN3z2bPlo2szt/G9pJMAAQC6SaQkZtKNGZjeAYyKjCiBkaxyvQxYoHoE5OYJRI7JjFivvpxJGa0XOwxHA/hKFePcDzwypu7kBLTgNS0ROo2qk3jdvVpdkRD2vZoTuWaaQfjrdX8DoQQzwPHARlSytb7eVwADwPHAsXAeVLKbw/uUWo0Go1G8+9h5Uo4+mgYMAA6dYJp0+D++2HBAqhZ8w/sSErIyIAaNQ7Ysf4SQkr522sdADp16iSXLl36lzy35vchpeTKnuMoyi/huW/vxbTMP7T9B0/M5okbX6Vl18bc/cENWgjSaDS/i+w9uUydPIvpL8ynMK8YDKOssh3TVPdNEwxRlucjA6ePbykRyA+Vij2l9e3K3ePbBp4dCD2hQPQJcn2kHYg+wYgXYYmLR9jyaVg5icrJsDu+G0e6tEtryEl1u9GrWmtsY//fp3i+x4/561mSvYyVeevZUrSXnDjEpQkITGlTHDMojpnE4zZuzMaPCYSjnD6iRJTl+phxsKISM1oa6OxjxCWm42FEVa6PEXPLBB/hqn/LIMy5NNcnvWoKF044jb7Dux0Ul6YQ4hspZacD/kT/UIQQvYBC4KVfEIGOBa5CiUBdgIellF1+a7/6Gkyj0Wg0mv+N/v3h1FPh0kvLl113HRQWwlO/Uoq6Z7dk7YwNNN4+n1qr58H8+RCPKyFIiD/9OH/tGkw7gTS/iBCCs24+iduHP8zsVz9n0Lm997ue7/usXLyOhVOX0LBtfQado1xDJ152DGnVU7n3/Ce46+zHGPfGKB0WrdFo9ouUkh+/3sAr97zPt/NWKrePIRC2rcQfy1LCTxDyLC1TCUBBi1epAOSHjbJgZ88W+GGBGwhAXhg8OwhzDoEfkviRQPSJgLQ9MD0iIYeqSQbJCRCVRbjSo4gccCMcW7sTJ9XtTqPkWvs9D1/6zM/4gc/3rmRp9lpynSIAko0USmLV2FsYJ+6qTB8cE+ICEReImIERBcsNGryCES8rKpXDJ6htLwt0jnsYQa6PiLlqxMv31WiX6yEdp6zJC19SvV5lLr3nDLof3xFxAC40NAcGKeUCIcThv7LKiSiBSAJfCiHShBC1pJS7DsoBajQajUbzL6KoCBYtghkz9l1+xRXQo8dPRCApYdMm5Nx5fDtpPjV/nE9PuX3f/SVWZeucHbQ4pu6BP/gK6E/kml+l67EdaNGlMVPueJeeQ4/8WVNYbmY+V/edwJ4tmRiGwPclO9bv5uxbhxIK2/Qe1oWivGIeHjWFiRc9rcKi/6CjSKPR/HOQUpK9O5ctP+5g5VfrWf31Bjav2k5OViGe66sxr3C4rL5dmAbSCFw+hgEhKxjxUuKPbxtlI16erWrb/bDAMwV+osr1KQ10liEgLHAtD5noYySCh48ADq8aQUTyiMkoAElmhCYpdWia2p6mKXVpmlKHuolVMcW+7pm477KhcBer87exJn87y3I3saMkk0QzQoKsRKwgwt5CifBNDMfAi4bAEZglAsMRGHEl+BhxVdtuxnwV5hwP6tsdJfqYjq9GvOIuwlF5PsLzglwfryzPR/oewvdJqZRAiyOb03Vwe9oc1Zy6TWpq8eefSR1gW4X724NlPxOBhBAXAxcD1K9f/6AcnEaj0Wg0/yQsS0VQlpRAqELPR2EhRCLApk3K4TMvcPps24YAjihdsUoV1tbqzZNr+rKuTh9aDGvJy+cYXHUV3HLLQTyPg/dUmr8jQggun3gWV/W6ndcnfsiFE4bv83jWzlz2bMlkxPXHccqowTx/+9u8/dAMls5ZwQ1PXUjDNvU5dmRfCnKLeX7sW3iuz39euFQ7gjSafxFZu3P5bu4K5r3zFSsWrSVaHA9GvETZeBfhCEZC4PIJnD8yyPTxLbMs1+en1e1+4PYpq2wPCTyrdNwrCHS2JNiSSKJJKMUgx40RMkwG1m/KUbXrsjG2npm7l9AkuQ5DanWmXVoDGiTXxKgg+Li+x5r87Wwu2sOW4gy2Fe1la3EGO0qy8KQPgIWN69hkFqRQXBLCkL5q74oaGFETEYNQHMwSsGLluT5WXOX6mHGJEfWCQGeV6YPjIRwH4bjgeMFolwe+j3RdklMTqNeiFo3b1qPpEQ1o3P5wDmteRwfya36GlPJp4GlQ42B/8eFoNBqNRnNAychQOT2VKkHfvkrA+T18+y18/DEkJMDw4VDxe5NwGE44AcaPVzlAYusWvDnzyBw/n2/y5kPDLfvurHJl5sve1BzRh+aX9mFDQmuO6m6wYBl06QKv3AbXXg/t28NJJ0HLln/a6f8q+pO45jdp2rEBA87uydTJnzD4vD7UaVQeXmWFlKunYet6JKclMuqhc+kyqD0PXfUCo/qM56ybT+LUawYz/NohWLbJ0ze/juO43PrSFYTC9l91ShqN5gCTsyePD5/+lFmvLCRzZw4IUTbOJSLhCjk/ZhDkbCDNIMjZspChINjZFkjLwLMCl09Q3e7bAjcUVLcHbh9pq0BnwuDZqr49MdkibnjEpUcxDnUqpdC/ej3CIYd1hSt4fMtCAE6v35sLGw0qy/eRUrKxcLeqas9ex/e5GynxVAOYiUGimUTcMcgrjlASM4k7FrgWfgyEY2DGgkyfeLnbx3TAKpFYMYkZDVw+MYkZr5Dr45YKP24g/LgqyNkrdft4WIag32ndGHrlABq21o6Ofzk7gHoV7tcNlmk0Go1G848jHof33lMjWbVrwznnqNufMnEi3HUX9O6tzDmbNikxp21buOYaJcD8FCnhhhvgzTfh9NNh1y7o0AEefVS1fwGwbRtPHTWP+bfPZ+ej86jjbMYE+pXuJD1dPWnv3kp5atOGS1oYvHs50Bo+nATDhkHz5kpkKiiAunXV873/vhaBNIcY599+CgunLuGZW9/g9jeuLltuB44eJ+6WLesyqB1PfXknk697iSnj3+X7z1Zx+5tXM+yqQdghi8eue5nxpz/CuDeuxg7pX0GN5p+C5/ms/WYjb02axuLp3yMlCMMoz/UxzXLhJxB9SgUgQlYQ4hxUt9umcvnYQXV7RGX7+GEV5ixD4ARuHxERuKaPDPuEEg0828PHI2Q7VEsNUyXRwjNi5Dh5RMni6/zNVA+n0bJSfYbW7c4RlZvQNKUOoBw/M3ct5dmNn5AdLwCgdqQK9cJ12ZHnsCG7kLgrEAhM18SLhVVleyyoa3criD5xqX5iBLk+wYhXzMNwJIbjYThBrk88GO9yPYTnIUvFHzdw/fg+launcvr1xzHgrJ5EknTQvgaAD4ErhRBvoIKh83QekEaj0Wj+iRQWqkYu21aumTVrVD37e+9Bz57l682fD489plq8MjJg4EAYPBgWL4Zu3eDEE+GFF9SyiixYAFOnwg8/QFpQlDr61O08cPx8hk2fR3jxfNi4kVTghGCbWGIaxZ16k35SIPq0basc7hXo31/Vyf/3v+oS2HVh9mylF9VRl584jnrsYKE/gWt+F5VrpHH6jSfw/Ni3+H7+Ktr3UTKlHVFunqK84n3WT62SzC1TLqfT0QuZdMULjDn5QW579UpOuORoLNssywi66flL9diCRvM3JD+rkPXLtvD9ZytZtnA1W1bvIlocK69vD4XVbSD8SNMES41yYZtBsHPQ5hUyyvJ9/JAa8/LCQok/paHOdulol7olQeDgYycKktIssjwVwFw9OYWjah3GDrmazSVZeECGB/XD1RlSpx/NUuvSIrUeIcNmTzSHjGge3+ds5L1tX7ChcBebinYT913qJ9SkeuQwNmQV8+WOfCCPZBHGLbAx4kL9xASWA0aMMqHHikmMWDDiFfUxHYkR9xFuEOYc9yu0d3kIz1d/+YMGLzwf3/MwDEivnEyTdvVp27M5Hfq2omEb7fr5tyGEeB3oA1QVQmwHxgE2gJTySWA6qhlsPaoi/vy/5kg1Go1GozmwPPywcs28+WZ5mdaxx8JFF8GPP5Yve+kluPZaJbBcfjncfjtcdpkauerYEZ5/Hv7zHxg0aN9Srvfeg2tO20na9PllmT5N16/nKYBXg5UqVVKKU9++0Lcv4bZtCf+GenPLLSo0OjsbunaF115Tz/Xaa+r5N22CN96Ar776c1+vX0NXxGt+N/FonJHtbyK9eiUe+WwcQgiklJzb5gYatKzLHW9ds9/tPnv3K+6/9Fmq1q7M+LevoV7TWrw1aRrP3fYWQy7oy1UPnasDSzWavwFbftzBJy8vYParX5CfU6RGvAyV47OP08cwgtr2INvHUvf90kBnW6gw54r17eEg36dUAApGu7ywujUiAhkSxH0PK0FQpWqEvW4hjvSpk5TKmU07cHyDFtRLrgTAJ7u+4b4f38aVXtnxJ1sJpIeS2RvNJeo7+5xbxAhj+BEKopKcYqkyfTAQcYGMCUTUwIwrt48RC3J9HDBLSt0+QXtX3EfEfcygwUvEVWU7cUeJP56L9FSLl3L5eOBLGratR/8R3WnVpQmHt6z7j3H66Ir4QxN9DabRaDSavxtduig3Te8KhdVSwuGHw6xZ0KyZWnbqqcrtc9ZZUK2acvbUrAn9+sGNNyo3UVIS7N0LyYW7lXVo/nwy3ppH9Zy1+z5pSgpLEnpiHdOXDqP7KiXpf7Ds7N0LTz4JS5aohrGlS2HoUHXJ/P77anTtssv+55dmv+iKeM2fQigS4tzbhnH/Jc+wcOoSep18JEIIjjr+CD5+Zi7FBSUkpiT8bLvew7pQvV5V7jj9Ea7pP4FbX7qC00YPoSCniLcenEZKejLn337KX3BGGo3mt9i1KYO5by5i1iufs3tLZpnII0K2+stlGCrrxzKDUGf1b2mpTB8sUwk+loEsbfAK3D5+KHD7hARuIPbIUFDjboOZYBDDQ4YkSckWCUkWOW6cmPSJmzZnNurAoMOaUCc5gbRQMil2YtlxD6x1BANrHYHre2wq2s3q/O2szt9GnlNMg4Q6ZJc4bM0rZH1uHnHXwPcNwlg4UR/iAtMRiGjQ4OWUZ/oYcYlVQrnw45QKPj5G1Fdhzq6P4agRLxxXuX48Hxlk+uCqW9M06DKoHeeNO4XDWtT5C99ljUaj0Wg0mkObcFgJKBXxPIhGg2augGOPVW6f009X4s+6dZCXB99/Dz2a7SXryflMlvNI6jwPVq8u2646UCiSCfXrSWhAH+jbl+/owMCBFpseAyr978derRrcdlv5/Z07lfgjJdxxB9Sr98vbHgi0CKT5Q/Qb0Z13Hp7BlPHv0P34jli2xVEnHMHUx2axZNZyeg/bT8oW0OLIRjw87zbGnfYQY05+kCsfPJuRd5xKYU4Rb9z/EclpiZx6zbEH+Ww0Gs1P8X2fXZv2smbJBj5+fi6rFq9HCjXiVSb8BNXtGIHIYwQjXqaJLKtwN1V9u1Va3R4IPxGBZwmICOLBiJdrq2wfM8HAtSSu8DGSJJEUg6jv4iMpEh71UhNomBIiPRJCCpflscXMXfFJ2bGHDIuq4VRub30WzVPVX1PLMKkersJWWcKWvbuZuz2TYtdBAEkiTLwgDHGB5QhkXGC7BsJR411mPBjxihJk+JQGOge5Pm5pro+HiHvBmFeQ6+O6SNcD10X6vsr18XzCYZMux3dgwNk9adezOaFI6BfeCY1Go9FoNJp/BtnZ8MEHqlp98GBo0OCP7+PMM+Gee6BPH0gMvvebPFkJLJ9/rqbrGzdW6732mlqve7MsppzwGd1i89lQeR7JDVeQDFwAsBq1ox49ysa7HvioI48/Y3NKMyh4VLWEPfusmgL7M6ldW42q/VVoEUjzhzBNg/PvOJVxp07i/Sdmc8qowbQ4sjHpNSrx6RuLf1EEAqhRvyoPzLqVe89/gkeufhEpJVc+dC5F+SU8O+ZNfM9n+HXHHcSz0Wg0xQUlrFi8loXvfc3ST1eSszcfKSmvcE+IKKdPaZuXpcQe31LhzuVjXoHjxy7N91EjX14Q5uzbyvXj2kBY4FoSLwThFAsXDx9JlbQEEtMtNkYzcaSkfnpVutc8jK416nFE9bq8tGUWb21dwE5n/+cS9112lmTz4OoPOLZqX77du5OvM7axJmcvEggJk4hrY+RLRFzgeGBHTQwHjCiYbuD0CUKdjXjQ3hXk+hhOeXW7iLsI11eCj+MGmT6B4ycQfSzLoHK1FBq0rEuzzg3pOqg9DVrX0+OvGo1Go9Fo/jV8/LFq8Tr6aEhJgbFj4brr4Oab/9h+LrxQhTs3aaLyfJYtg+XL1f2PPoLRo+Hs43OZePwCZracR/7786j0+XIMgvibHVBChC11j6LxRX2xju4LnTurpOmAcV1g+Fkwfbpq77r/fqhe/U98MQ4RdCaQ5g8jpWTcaQ/x/WereGbpPdSoX5WX7pzK6xM/4rnv7qV2w1//L8WJu0w4czJLZi3nuicvpM8pR3L/Jc8y763FXD7xLE687JiDdCYazb+TXZsy+OiZuXw54zt2bshAQlmIM0KU3QrLBDNo7ypr8woEoJAKeZa2UE1elth3zMtWYc6lFe4iLHAMiW9DOMkiZvm4vk/1lETaH1YTJ+wxb+cGDCEY0aQdF7c6krrJ+37tEvddvslex4bCXbi+hyNd8uNRNhdkkxuNk1XssC2/iMKYQEqBhYHlmcSLfXBUXbtwVK6PGSsf8TJjKtfHiAaBzjEf01HZPkbcQ8RcNebluIjA5YPrIV23LNBZ+j62ZXDsyD4Mv24IVWqm/yXv7aGGzgQ6NNHXYBqNRqP5/yClaucqKFANXaFfMDbn5yvXz4wZcOSRatnu3dCpk2ri6twZcnJUePIbb6jIxJNOgvvu23/1O6iMn8WLVXX7uScXcN2RCxHz5+F9Og+++w4Tv3zlcBi6dSPWvS/bmvSl8sAjqVzrn5G7+FvoTCDNn4oQgiseOJuLOt3MY9e9zB1vXcOQC/rw5oPT+ODJ2Vz23zN/dXs7ZDHm5SsYe+okHrzsWUIRmxuevohocYwnbnyVtOqpv+oo0mg0fxwpJcsWrOa1/37A8gWr1ViXEGAFYc6W9bOQZ2lZYBlBi1cgANlGWcZPWYV7hWBnGbh9fBtkBFwTCEEk2cbx4vhCYiX5HFYtlZjpsKUwh52ZuURMi7OadeDS1l2omZiy33MIGRZdqzSnslmVOdvXM3f7Br7duwMJhA2LZBHCK0lAFLsYrkA4Bn4cbDdw+8QC0SculQDkBuJPqfATNHcZjgxuPYg5CMdVLV6+En5Kx7yQEun5JCSGOG30CZx85cB/TKCzRqPRaDQazTQyK04AACAASURBVP7YuFHl7ezcCZUrqxr2yZNh2LCfrztzpqplLxWAQOX0XHyxEn2OOEK5ejp0UOJOOAyTJqlRrmXLlBtnH4qLabNnEYctn0uH1fPodNcShKdKQEzAt2yWJ3Wn7Sg13kW3bhCJEAYaH6DX4++IFoE0/xM16lfl3NuG8fTNr/P5B0vpeVJn+o/oxvTn53PSZcdQq8Gvu4FCEZtxr4/i1qEPcN8FT3HzlEu5+YXLuPmEifz3wqdIqZxMx76tDtLZaDT/THL35vPDojUs/uhbls75gbzsIjXiZVtl2T5lwc6GEntKx72wjbKMHzXuZQQCUAXhJwh1liGBa4FIMPBsiWNIjEQDIgLH9xBAWrUwkbDBnngBhdJhc9ylY7XaDG3Uiq4169Ouai0i5v7/JO0uLmB55m6WZ+1i+pY1bMzPBqB6KJmqXgrZOSW4rqAYHy8mCTlmea5PMOJlxsBwgzDneIVcHy/I9YmrUa9Sl49w/fJcn9JAZ99Huh5CQM36VejQuyVdj21Px36tsUP6z6lGo9FoNJp/Nr4PJ5wAF1wARx2lHD5ZWXDppdC8ObT6ycc3x9m/SygcVt+nzZmj1nniifK69rvvViHOb70F546Iqe70uXNVbfuXX0I8TirQGfANkx9Tu7C8Sl/Sh/UjsX93rhubxNfjD/Qr8fdGj4Np/mc81+PKnrdTkFPIs9/eS1FeMSM7/IcjB7bj1hd/X9JVUV4xtw59gNVLN3LOmKEcd2E/bhx8Dzs3ZnDX1Oto06P5AT4Ljeafw+4te5n/9pcsnbOC9cu2UFIUK8/22Uf0qRDqXOb6MSvk+xjI0vr2Cvk+vqXyfTxLQFjgWEBE/Tvu+yQl2ySkh9lZXEjINOnfuCG9Gh7O4twtvLdpBY0rVWFg/ab0rHU47avV/pnoU+zE2ZCfzbrcTNblZbE2dy8/ZO0ho6QQAIEgzYwQzfeJF/kYvsD2DbwSX4U4x1FNXkF1u+VKRLS0wWs/uT6lQc6Oh3AcCNw+qrpdtXnZtkl61VTqNa1Ji84N6X5cRw5vVQ/TNP6Cd/jvhx4HOzTR12AajUaj+V9YuBCuuEI5dT74QDmCcnPhxRdVBfu0afuun5mpMnu++gqaNlXLCgqUA+ipp5TbZ+NGeOSRYAPXhW++Yf64udRZPZcmGV+oNOlShIAOHfB69eWUx/uR06oHN96ZSjSqRsiysuDss2HcuIPxahza6HEwzQHBtEwun3gm1w+6h3cems5ZtwzllFGDefXeD1h1+Tpadmnym/tIqpTIfdNu4uFRU3jpzqkA3PvRTVw/6G7GDHuQuz+4gVZdf3s/Gs2/lVhJnM8/XMrUyZ+w7vst5aKPCNq89jfmFWT7qDp3oyzYuWzUy1T5PjLI+VGV7YHjx2Qf4SeUaFCtajK5XoycaBRL2Izu0Z3+zRqwqTCHh5d/weqcvVzaqgvXdeiJbZjlx+65LN69ldnb1rFw52a2FuaWPWYKg1QzjHAFVoGFjAOOIIrEi0psR2DFQcR9bAesOIHLx8eISky3XPQxYn7g9nGV4ON65dXtrqeCnL3A8eN6GIag+7HtOf2mE2nc7rCD/6ZqNBqNRqPRHILs2KF0mnfeUcJOabV5nTowYYKqYq/YpFW1Kjz4oHINnXWWCoZ+5RVV496nD8RKfL56+gfkA58i5s2FBQugoIA+FZ+0TRs12tWvH/TqBenpfPQ+rJoO2duUm6hZM7Xv776DY3S87G+inUCa/zd3nfMYX834nme/vZfUysmM7PAfqterwqQ5t/7uFhzf93ng0uf49I1FXDXpHLoO6cANg+4mJyOfiTNu1h/ENJqfsHnldj58ag5zXv+CWMwtF3oEQYW7WSb6YAY17paJtAywLXzTLHP3yFAQ7ByMe8mQiWtLZMjAs8CzwUo0cSyJg4+ZYJBSKUK2E8X1fRJDNm3r1aBaeiIxw2FZ1i52FOUDUCWSyP3dj6Vv3UaAEn6mb1nDrK1rWbBzM0VunETLpmOVOti+yd68YjbsziYe9zGFQcg3cKKeGu9ylNPH+MmIlxGX5U6fuMRwA/HH8VWLV0Xhx/dVbXuFXB885fqp3aAaw64cSJ9Tu5KclvQXvrv/HLQT6NBEX4NpNBqN5o+yeDGcfDLs2aPCnnNy4KGHlPPm2GOVQHTbbXDqqT/fdv16lQFUUiwZ1nYdHXLmIuZ+ipw3D5GVtc+6mVWaMivel2GP9SM8sM9+67muu04tHj4cnn9e5RN1766q4jt1+mvr1w8VtBNIc0C56K4RfDn9O56++XXGvHIl5409mQcvf56F7y+l19DOv2sfhmEw+rHzKcgpYvK1LxOK2Nw37T+M7j+BMUMf4ME5t1K7YY0DfCYazaGJlJI9WzJZsXgtX89cxopFa8jakx8IP0I5foJxL1HR8WMowadM+DEMZMhEmgLCJp5Z3uhFxMQ1JDJs4IXAMwRWioVjeHhSEkm2iKRZ7C4pAnxqJoYZ0qg57erW4MovP+Dzoo1QpDSoNlVq0qt2A1pXqUndpFS2FeYxYcmnbMzPZmV2BhklhVSNJNGxcm3Cboite/L4ctlOABINC1ksCcUFpiMRcY+IC4ZTIdcnXiHXx6kg+ASij1Fa3V4q/Hge0lNuHxmMeQnPx7ZNqh9WmbY9mnPKVYOo07jmX/o+azQajUaj0RxspIRYTGX3GL8w7V5SAkOHwnPPwe23w9atcOONMGoUvPoqZGerwOf9br99O40XzWXMuk9Vts/27WUPCcCrU4/FCf14cWs/5tKPTv3rMnEihOv/8jHXqAEbNsDhh8P4Cvk/r70GQ4b8Dy/CvwztBNL8Kbx23we8OOE9Jrx7LUcc3YbLu49FSsmTX07A+KX/m+yHaHGM20c8wvfzV3HpvafTsV9rrh1wJ8lpSTw4+1Yq10g7gGeh0Rw6SCnZtHIbs17+nE/f+IL8nGJV2x4IPz8TfYygwt1SDqB9M36COveQgawg/JQ6fXxbYCVaRD0PI9EglGqTF4uRHA7Rp00jMrwiFm7dSnpCAucd0YFBzZrQqEplAIqcOMdPe7EsrPmXCBsmlUOJ2NLEK4LdmUUIBKYQhKVJrMjFjIPlCYjJoLqdYKQrCHR2VIuX4frB8iDXx6kw5uW6KtsnGO8qHfeyLYPG7evTrkcLugxqR8O29Ykk6iavA412Ah2a6GswjUaj0QB89BHcequqe69UCa68Ut03zX3Xe+89Fd48e7aa2Dr1VOjYEVatgkaNYOxY1Q62ZQskOzkqxPnTT9XPmjX77qxqVTXa1a8f9O+vdiAEpbLE7xkk2bVLTYm9+ioMHKgCq198UWUBrVungqf/7fzaNZgWgTR/Ck7c5fLutxEtivH0krv5+pNl3HP+k9wy5TJ6nXzkb++gAvGYw70jn2TRR99y5k0n0OmYNtx03H3UbVyTiTNuJqlS4gE6C43mr2fXpgzmvPY5s1/9gj3bssrHvEqFn9I2r9JwZ9Oo4PgxkbaJNIQSfqxA+LFEWcAzIQPXBD8kMBMtYr6HDEFq5URy41Ec36dR7crUq53OjuICVu7JIGSanN+pI5d27UzKL/xVXZ65i+8zd2EbBiHTIre4hBW7M1iTkcXWzFxKYi4CQcgwsXxBrMjFcFV7lwjGvFS4s8R0ZNmtcHyMmMQMnD6G60FZsLNb5vQpbe5SIpAHvkT6PpWqJHHOrUMZcHYvQmH7IL+bGi0CHZroazCNRqPRLFigxqmmTIEBA5R4ctFFaqzqnnv2XXfKFJg1SzltAMaMgWefVfpN/p4Smuz5nPsGfEqTrZ/CN99ARY0hORl691aCT//+0Lr1L1uO/gDz5qmWMtuGaBTS0pQo1Lr1/3vX/wi0CKQ5KKxcvJZrj7mLoVcM4KK7T+eybrcB7NcNFCuJs339bgrziinKK6Ewr5iUtCS6Dm6HEALP9Xh41BRmvfI55952Mk06HM7YUybRqmsT7nr/OkKR/XQNajR/U3zf58evN/DWg9P4asb3amEFh0+Z8CMEWJYSfkqzfiwDbBO/NOzZFkjLwLMMJfhYAjPBJI7Es8FODlHiucgwpKQnkBuP4kpJeqUEqlRLZm+siL3FxQigfe1a9G/ckBNatqB2asqvnoOUknVZWXyyZj0z165jzd5MAKonJIIDObnF4IDpl4s+hosSeFyUuyca3AZjXsILatwdH+Eq148a83KV6ycIcqYs2FmNekUSbFp2acLAc3rSc+iRusnrL0SLQIcm+hpMo9Fo/t14HnTpohw/zZvDiBEwaJBy2LRuDdu2QVKFeMTt26FdO+X8qVHVg2+/Zdcrc9jw5By6eF9ge7HylW1bKUmlok/nzmrZATqPFSvUKFvz5r/PRfRvQWcCaQ4Krbo15bgL+/HBE7PpP6I7Z9x4AveOfJJ5b31J/xHd91n3ngue5svSD7sVGHDmUVx5/1mEIjbXTD4f1/F4ccJ7XPHA2dzw9EXcO/JJJpw1mbGvjcIO6V9fzd+X3L35fPbuVyycuoQ1324iHnNVkLptlQk/5a6fCo6foNZdhCw8w4CQui9DqtWLkKkavEIGvm3gGZJQehjHjeMDqdXCFLuSuOcRSbQ5pWMTluVnsGz3bnIL4hx12GEc3aQRfRs2oFryL4cjZxQW8sPuPfywew8rdmfww+49ZAXiUZVwAqmOTbTQIT+rGFsa2FHl+lHNXUGgc0yFOAsnCHUuHfNyfXA8DM+HeLngo7J9ArHH9ZC+h/AllmVSp1F1+p3WhaNO6EydxjV+dyi9RqPRaDQazb8JKVVT18qVcPPNUK0ajB6t4nomTlRjYbt3K5dP6QZ1oxt4pcccvm04m75yLpGSXGoBtQAphJoN698fjj4aevSAxIMzuWGaSpzS/DH0p2jNn8rIO07liw+/4ZFrXuTBOWNo0uFwnhv7Nl0Ht99njKvW4VUBGPfqlVSrW5mk1ARmTPmMtx6eyaaV2xnz4uXUqF+Fax8fSUlhlMeue5mrHz2PUQ+fxyNXT+H+S57hpucu+UN5QxrNX03u3ny++HApM19awLrvtiABYRoq66diuLNpljmBpFkx40fdl6U5P5Zq88IyVMizLTATLFzpYyZaWEkW0VicEtPn8AZVWZ+dw554MQPbNOHsHh3J86LcMH0WhfEYY/v3YVibViSF9nXZxT2PDVnZrN67lzUZmazem8mavXvZW1QMqEC/tFAEXIlVCEYcoiIGMUkoHjR6xT1CjgzGvXwMVyJK69v3yfb5idMnGO9SFe4+0lcBz5Wrp3LiZYPpfExb6jWtpZ2BGo1Go9Fo/rFICU89BY8+qhw5XbrAHXdAt27/2/7mzoVly1SAcno6XHYZnH66qlkfMAAKCqBOJAve+lSFAM2ZA5s3M7jCPvakNKKwy9EcftHRmP36qJwfzd8GLQJp/lSSKiVy8b2nc9/IJ/nkxQWMeuhcru47nhduf4crJ51Ttl73IR2Z+sQcnJhD47Yq+n3k7afQ4sjGTLz0Oa7qO4H/PHcxHfu05OYplzHhjEd5ZNSLXPfEBYwcfxrPj32L9OqpXHLvGfobf80hjZSSb+et5O1J0/j+s9VIKVXOj2WW5f2U5f5YZpkQVOb6sc0KIc9B1o8pkHYQ8mwLrCQbx1PZPqG0MPFYDCl86tVIIj2SwobMbNZlZ3Nix5aM7H0EceHz1rIVTPnmO5pWrcLLI4bRtMIfb19Kvt62nQ9WrmbGmrUUxuMAhEyTWsnJpBhhJD55eVGECzERw/QE4ViQ7eME7h63PNtH1bVLDM9HxH1M1w+yfcoFH+H54KhMH+mVj3lJz0cI6DqwLcdd1J8OfVvpES+NRqPRaDT/aEpK4N134YUXYONGlcvTti18+CGccAJ88oky4PxRZs9W419DhsDgwZCSAscPjDOy4SJWnzyLH9JmE6m3b66Pl1aZ5VX781rG0bybfww1Wzfg7luhUZ8/7XQ1BxGdCaT505FSctOQ+9iwfAvPfXsfb06axtTHZvHArFto1bUJAJ7nc0bz62jfqwU3P3fxPttvX7+bCWc/zra1uzh3zFBOu2Yw8ajDuOEPs3zBj9zwzMWsWbqBqY/NYuT40xh+re4B1Bx65GUW8NXM73nrwWlsW7cbYQgQxj5ZP+XNXkrkkaUCkGUgQiaeYYJtKMHHMvFNEBEbR/iYiTaukLhCkpgeoVi6OJ5PWpVEEtLCbMvNw/V96lWpxOB2zWjboBZzNm5gwaYt7CooAOCM9m25pW9vXN9nT2EhuwoKWLRlKx+tWsOuggKSbJt+jRqSbkfYtjuX7zbuoCTuYhsGYUyihY4Kd/ZQAo9bWtsuA7ePDDJ+SkOdK4x5Oa5y/3g+eG5Znk9pq5f0Jfg+1eukc/JVgzjmjKNITvvl8TTNoYnOBDo00ddgGo1Gc2izebMqz2rcGBYuhJYtVd7N7NnKvfPII7B4Mbz++h/f9z33wI7tkslXrWHdY7PY9eIsOhbMJ5mi8pVCIejRg6yOxzDq42N4Z30HfAyqV1ctXDk5cMUVMHPm/yZEaQ48Ohhac9DZumYnl3UdQ4+TOnPNo+dz8ZG3klo5mUc+G1f2Df7D17zEvHe+4vXVD5CQHNln+5LCKJNGTWHB1KWceEl/Lr1nBLHiOLedMokVi9Zy47MX8eX075n/9pdcM/l8Bp/X5y84S41mX3L25DH3zUVMe2E+O9fvQf600r0048cQYFr7jHthqoYv31SjXtIUELbwBBhhE9cQ+CaEK4UpjjtEEkOk1UxmS1YuiWGbLm0OI9uP8tWm7dRITebY9s0Y1K4preqofJyL3nmfeRs3lR1rjeQkkkNhdhcWUhQ4fQBMIWhWpSpVrAQy9xayMUNVv0dMExEHt9jD9FSVu4x5qt0rJjE8lesjXOX6MRyvXPRxA9Gn1PHj+8jSKndfiT/C8wmFLWo3rEabHs3o1L81TTs0JL1GpYP+Pmr+PLQIdGiir8E0Go3m0Ob441W28imnqMDm9evh4otV0dakSbB8OZxxhgpF/t3k5MCcOeS9PYu8d2ZRX27d5+EVtKKg+0C63XYM9OqFG0qkVi3lSHJdlSP09tvq+7off1QupaVL4ZVX/txz1/w56GBozUGnfrPanH7jCbx811T6De/GBeNP496RTzLntc8ZeHYvAPoP78aMFxfwxcffcvRPgqMTkiPc/NwlVK2dznuPzcayTS4cfyoT3h3NbcMm8cClzzHujVEU5RXz8FVTSEpN/MNV9BrNn0FJYZRFH3/DjCkLWLForcr5MQywbeX+KXP8mOVtX6YKcy4NeVajXkHmj60CnqUpsBJDeJ6HSLIwQiZxx6VSepjk5GS2ZeYRzS/k5L5tyPKizFyxjgTb5pJ+Xbjs6C7YprnPcU4+6bggz0dl+mzMziHJDtG6RnWiUYfsvGK27s0lJ6+EDZl72WaaJAgTuyRo8/I9RFwSjkssF3CCFq+KGT+ej4h7QY27i3DVOJdwKzh99sn48UmrmsK5Y4Zy9Jk9dIW7RqPRaDSafz0lJSqG58031WR8drYKar7hBuUOmjQJvv4amjT5jR15HixZouw6n3yiNvJ9KgGVgAyq8WXyMcwWA/ig+BjOu6U2Dz4IfSbDhVHYswdyc2HGDLjmGlUJP3YsNG2qjmHECC0A/V3RIpDmgDH8uuNYOHUJj1z9Ik99fRctjmzElPHv0fOkziSmJNCqa2NqNajG7NcW/UwEApR7YcJpuHGPdyfPwrRMzh97MuNeH8X1g+/h7nOfYMK7oykuiHLfBU+SmJpAp6Pb/AVnqvk3sndHNu88PJ3pz89XzV7BaNdv5vyU1rpbZlnYs28KjAQbB4mVYOH6EmlBpHKY4pIYjimpUSsZLxplV7SYuimVGDGgA7ujRbyxbAVhy2Rk706c36sT6UkJ+z3esGXRrlZNDq+Uhh0X7NmezzebtpJfoio9k0IhIsIkUiyQjsTwPHzpE4qVZ/sYrlS17XEfwysPdxZu4PYprXF33GDMy4MgzJmKzh8pqVm/ChdOOI2jTuykA941Go1Go9FoAkrjTqVUzp+LL1aCy803q8emT4cxY+Cdd/az8c6dSvCZOVPNjuXklD9m2+R36MUTGwbSdewAbn27PbeNMzjJgmkXwRNPQO/eKhj69tuV+NS4MRx5JOzYoYSo+vXhiCOUnlS7NrRqdTBeEc2fjR4H0xxQVi/ZwDX9JnDchf04+oyjuKb/nYy4/jjOGzsMgNfu/5iX7nqfKd/fQ83Dqu13H1JKHr32FaZP+YxTrhrI+eOGkZuRx+hj7iJWHGfCO6OZdMXz7Ny4h/um3UTzTo32ux+N5v9LPObw/fxVfPLyAr746FuU7Ucoh48QqtmrTPyx1DLLDAQggQhb+EYw9mWAGbFxDfAMsJJCxByPSKUwni0oiTmkpidgVwqxM6cA0zDo074RXdsexmtLlvHjzr2ELZPTu7VnZJ9OVEnefxVn3PXYmJHNko3bWLRuK4vWbcH1fKomJ1I1IZG83BKyMosQPkQME7fERbgS0wHh+hguQZ6PVPcdH+EFGT+OcvYITyrhx1dCkHRd9dWVXz7uZQjBYc1r0XVQe7oe24FmnRrqUPd/AXoc7NBEX4NpNBrNoc2JJ0KnTnDbbeo7tbvuUlk+8Ti0bq0avfr2haYNHMSXi5VdZ8YMVftVkYYN1TzZoEHQpw9PvprCN9+ou88/D9OmqdDpNm3gzDOhfXv45huYPBnq1IHiYsjKgjvvhAULVBbRkCGqPn7tWuVY0hXthyZ6HEzzl9G8cyNOvOwYPnhiNv1GdKfvaV1599GZDDizB7Ub1eDo4d145Z4PmPny55w3Zuh+9yGE4MoHzgTgnUc/Yc23mxjz4mXcNfU6rh94D7ePeISbp1zK/Rc/w9hhk5j06RjqNK55ME9T8w9nw/ItvPvoTD57dwmu45YLPRV+yrJ+jGCsyzCDETBRlvUjbAvPADsphON6kGhh2CZx1yWtehJOSZRCx6Vz88PwEwwW/biF6tLmyqFHcXz3VlStlMSX67eyetdeUhPCvHHlGdSvUomiWJwtmblkFxazJ6+ADRnZrN+Txfo9WWzNzMX1fQDSEyLUTUohN7OYgm3FFFFMxDAJFfkYDthSYsS8svEu05MQ98puheupEa/A6bPPmJfvI93A+eP7hEIW9VvUomPvlvQ+tQsNW9fXjh+NRqPRaDT/eNatU5XumzcrIeeii6BKlT+2j0cfhf794bPP1D4+/VSJLePGwT2jdrFhzAzqFEynljObVJlfvmFiolKHSoWfxo332e/hh6u2sf/+Fy68UB3rp59CrVpq1eeeg1tvhYQEOPdcdRy9eqnnzcuDnj3VuFqDBqqlTAtAf0+0E0hzwCkuKOGiTreQXCmRO94ezeXdb6NllyZMeHc0QgjGjXiEtd9t5qUf/osd+nVdcs4bi3hk9Msc1qIO931wPXt3ZPGf4/4LwPVPXsh9FzxFQkqESZ+OoXKNtINxepp/KLGSOAve+5qpj89iw/KtSvgRQcCzQLl+TLNcCAryfqSpmr6wA/ePbeEZAmwDI2zh+D6JaYkUuy6u71OtbhqZhcV4nk/vLo2p36Aq7yz8gbyiEkb078Clx3cjMRLa59hmLlvDf978hJBl4noeMdfb53EhoHZaKpXCYdyYz96sAorz4wgJCbaFH/PwoirUeR+nj+MjPBnk+gS3fmmoc6n4U9rgpTJ99hnz8n3qNa3JhROG02Vwe+300Wgn0CGKvgbTaDSaA8O8eXDaaWqEq21bZc6ZPx+++EI5a37KrFkqV6ekBI47ToU920FEYiwG778Pm9Z79Ax/TYdd01n/yDTaut/ts481RnO+Sh/MrvaDufGjnogEVbjz1VdK0FmwAGrUgEsuUblCHTuqY6xeXYk7derADz9A8+aqhez119X3mNdeqwKgFy6ESpXAcaCwEO69F0aNOsAvpOb/jW4H0/zlLJ72LbcPf5jzxp1CQlKYJ//zOjc9dwl9T+3K17OWM3b4I9zy/CX0Gtr5N/f15YzvGX/247Q9qinj37qaPVsyuWHwvYQiNpfffyZ3n/s49ZrWYuKMm0lM2X8+ikbzS+RnFfLe5Jl88PQcivOj5eKPWX4rDLNCtbsBwkCELHyhRB/fENiJYWKehxlk/UjTILlyIrmFUUIJFlVqpbIzS31zc9SRjUlICzN/2Qbyi2O0Orwmt5zVn+b1q//icX6zaTsffPMjlRIjVElOpFJihOy8IjZszWTNpgw271Yz4BHbwvIgWhjHcMFC4Me9fcUfTyIcT+X8OB6Go8SdsmDn0kwf1wtCnT01qO6pvJ+EpBDdhnRk4Fk9ade7hRZ/NGVoEejQRF+DaTQazZ+PlMoZM2GCGucq5aabVM7O44/Drl2QkQHNmqnxrtdfV6HLKSnwzDPq9sMPwczPUdk+06apfJ/MzLL9+ZEEZnv96X7nsaScNpjjrzqck06C++9XY1z9+8OqVSrfZ+JEJfhs3KiEmzZtlBB06aXKZSQEJCWp/J+xY1XukGHAypXQpw98+aW6//77at2TT1a5QJpDHy0CaQ4Jxp/xKF9/sozHvxjPA5c9x+7NGTyz9B6S0hIZ2fEWqtZO5/7pN/6uD5Bz3ljM/Zc9x5ED2nLL85ewbd0ubjz2PmrUr8LpNxzPvSOfpG3P5kx4ZzShn7goNJqf4rke33+2ijmvfcHC95fixt3yJq/A/SMsE4RRoeFLiUCGbeEJ5fSRpokZsXF8n3ClBIpjDnaijZlgU1QSp3qNVESyxfaMPJITwxzXtzUyweCl2d9gGgb9OjbmtD7t6NCkzu/672BHZh5f/biVr4OfvKIotmmQnpBAQV4JbrGLKQWGK5FOEOZceuv6CEdieD6UOn72Gfeq4PYpc/94SF8ifJ/k9CR6De3MoHN60bj9YXrUS7NftAh0aKKvwTQajebPZ88e5aTZu1ddKpayapVy+XTsqJxCtWopMSgWg02boFo1QErcVWt5bNBHnFnpY6qu/lxdFSZ56AAAIABJREFUe5XSsCFfVhnC2iZDiHfrzedLI0yZoh4aPVqFNMfjKgf6/vuV66d+feUEKiU7W0UErV8PVauq5i/HUc8/f74Kn27aVI2CLVmiBKUzzjgIL5zmgKAzgTSHBFc8cBbLFqzioaue56qHzmFUn/G8MP4drn74PIZdOYDHb3yNhe8v/V1uoKNHdCNWEuex61/hxhMmcsfrVzHu9au4bdgk3n30E66cdDaPjHqRe0c+xa0vX4Fp6g+omp+Tn13Iu4/M4ONn51GYV1zu+rHtMuePMM2y0OcyAciyglEvEzcY+ZKWiQ8kVk4kWhhFhE1SKyeQk1dMs7rpNGlZi5lfrMYocBh9Xl+G9G3Njsx8zrzzVfq0b8R/zuhHtbTkXzzW3MISVm3Zw6rNe1i1eTcrN+8hM68IgORIiATTIhIDP+pSZBZhxHxsx8OWBjLqQpkA5Cu3j+uDo4Qe4Xo/q3IvzfkpFYIq16hEn1O60HlAW5od0ZCkVO2y02g0Go1GoyklMVEJMYWFkJpavjwjQ4kzlSvDtm1qvXvugfvudNj0whdU2/0hfPQR1vr1XA2wHaRlIfr0UerRkCHQrBl5swQP3AjXD1JhzaCe7+OP4cUXVVtYpUpq+apVPxdwKldWuT8bNyoRKK1CckafPrBlC8ydq/bZt+++56D5Z6GdQJqDyuzXPuf+i5/hkvvOIHNHDlMfm8WDs2+l6RENuOaYu8nckc3TX00gJS3pd+1v8fTvuffCp0mvnsrd741my+qdTDhzMq26NeHIAW15dsybHDuyL6MePlePqGjKKBV/3pv8SXm9u1Fx3KtCvXtpw5dQwc4+YCWGcDyJlRAi7kuMkElCWgL5hVFS0xOxk8NkZBVQt246rdvV4+uVW9mTVUDnNvW55dKB1KiaysrNu7n9hU/ILijh3fHn8n/snWV4FFcbhu9ZiXtIgjsEdytuxd2Ku5dSiru7S3FrgeJOcVqsuLsHDwlxz9rM9+MEAhVqX2mg576uvcLOnjl7ZhLg5Nn3fR4Pl7dFlcjYBC7ceca5O085d/spj4LCX7/m4+6Mg05PVEQ8CTFmFFV4/VjiLWBR0auKqO6xqShJqV6vHxZbsuhjs4FVCEH8XPix2VDQyFc6J40+r06p2oVltY/kTyMrgVImcg8mkUgk/x9MJti0Cc6fF5U3x48Lj505c8Tnh9HRULUqXL8uOrqcLFGwbx/PFuzE9ac9uKuRr+eK0Hlx2qsWx9zqsiGiGiNmeNChQ/J7qarQg6xWEdE+cKAwdfbyEpHulSrBqVNC6OnSRZg3Dx2afH5EhKgEundPiECSjxvZDiZJMWiaxsims7hy9BazfhzByCaz8PB1Y+7hkTy8+ZzelcdTrVUZ+sxp94fnvHMhgBHN5uLk6sCMfYO5evw2Uzsvodin+cmYKw2bZ++lzdAGtB766+ljkv8O0WFJ4s/8n4k/uqSWL73w9xHx7qC3N2JTEeKPomDnbIfJomLv6kCC2SZavZyMxMWb8fJzRTXoCIuIw8/PjWy5UnP57nOiYhMpmCsdbRuUpFShzETGJvD1thPsOHEdL1cnRneozid5MhERk8Dtpy85c/MJ524/4e6zEDQNnOyN5Mnsh6vRjtCQWAICXmK1qhj1OvQqWOJFRLteBc0qKn14o/VLsalC7LHY3vb4ed3e9Ua7l6ah2VQ8fV2p17Uq1VqXJVVar3/72yb5gJEiUMpE7sEkEonk7xMZCZUrg6cn1KolhJ7du0UCV3CwiHI/dQpq5X9Kjts7GVVwh+i7slhez/HAmAu7JvXod7QuX677hIZN9Bw/Lj6DLFnyl4KNyQSLFol491u3hPCUJUtyrPur6p9Xnj6zZkHTpsmeQP7+Ypzk40eKQJIURWhgOF2KDSVHoczU6VyZie0X0n1yCxr0rMaykZvYPG8/cw4Nxb9o1j88550LAQyqPwPfDN5M3t6PM3svM6f3N5RrUAw7RyOHvjtB7zntqd2p0j94ZZKUiKqqXDl6i51Lf+D0nsuoqpYk/iivq39ep3wliUB6e8Nr8UfTKaLix6ri4u1CdKwJRzd7sNMTF28mh39qoq1Wnr+IJHtWXxrULczGQ5d58CSUMkWy0qZ+CQrkSo6DGLxkNwfP3wUgk58nBr2OwLBoEkxiQ2A06MmX2Y/U7q5YE608DAjhaZD4lMjZ3oglwYot0YpBU8CaJPioQvDB9mai16tKHzW56ifJyBk16ZFk9KzT60if1YcCZXNRrU05chbJIivnJP8XpAiUMpF7MIlEIvn7DB4sWr2WLxeiDcDq1fD1PI1Vg25wffw2sl3dTiH14utzNJ0OpVw5qFePvofrsuJ4DuzsRItYTIwQaFq0EGObNBEG023a/Pr7m0yifctkEmLUz9u3Tp0SlUCv0sG6dxfPDdIQ5j+BFIEkKY7dyw8z98tv6PN1B07svMiN0/dYcm4Czm5OdCgyhKz50jNpW78/NeeVn24zqvk8vNN4MGVHf45sPs2y4Rup26UyLx695MLBawxb3Yuy9eXvI/8FQgPD2b/qOHtWHiE0MEKIGkmVP4peQVPeqPzR6UTKl04POgXF8Lb44+7rRmRUAvZOdjinciYkNIZs2X3Jljsth0/ewaDX0++Lanh4OzP2672ERsYx9svaVCqZ8xfrCgyN4qfrj3gcFM6T4EiMBh0+7i5oVpXYGBPBQVHcDQjGpmoYDTpcHeyJi0rElmjFqOjQzDY0i4oB0ExJVT0WFd2rah9bksHzG2bOqCqa1fZa/NFsKg6ORup3r8qnrcqRLrufbPWS/CNIEShlIvdgEolE8ufQNBHlPmeO8PUpWVJU/mzZAoULI/ZYZ86gbt7Kw9nbyabeTz7Z2Zl7Wasz5XZ9IsvU5qvx3mzdChs3iuj4QYOEHeWiRUIMekX9+sKs+ZUo9HfWLj/b++8hRSBJikNVVQbWnMzDG08Zv60/g+tMpWjVfIz87gu2LTzI4qEbmLyjH4XK5/5T8944fY8Rzebg7u3K5B392bHoIFu/3k/roQ04f+AK9688YeL2/hQol+sfujLJv014cCTrp33P7uU/YrWqQvx5Ze7887YvvU4IPoDOzoimKG+JPx5+7kRExmPvZMQrnQfPnkfg5e1MgWJZOH/1CZFR8ZT9JAefd6nEriPXWbX9DOn8PBjTuza5s6X+zTVarTYu337OiQsPuHD9KQ+eitYvvU6Hl5sj1kQr0eHxKDawN+ixmqxgVdGrGpjVJKHnVevXKyHIiqJpwuNHTar6eS38aEL8UVXSZvWhxYC6VGxcUibnSf5xpAiUMpF7MIlEIkkmPh4CA4WXj+Nv5F7Mng1LlggRKG9e2LULeve0sqPfMWrEbYFt20TkVxKhSip+8qrH6piGhBSoQvb8jmTNCmPGQKFCUL489O0r3vPcORG9fu4cpE7aPl68KLyEHj5MNnuWSP4MUgSSpEie3Quie6nhlKxREP9iWVkxajPDV39OieoF6VRsGN5pPJh1YMifbku5cyGAYY1n4+TqwKQd/VgzYTuHN52mx9RWfL/0B0JfRDB9/1Cy5c/4D12Z5N8g8mU0W+fvY+v8A1jNIlJTsTOgqYBeQUmq+NElmTu/En+MjvZYNQ10OgyOdpgsVjz8PIiIjMfByYh3ek+ePAvHxcWBQiWycON+ECGhMRQtlIku7cqTyseVoTN2cuP+C2qWz0O/TlVw+pm4oqoaIeExXL71nJOXAjh16SGx8SbsjHoyp/VCp0LQ80hioxLRKwr2Bj2mOBOKTUNREYbOryp+1CTBR9VEq5c1Kc5d1X7T40dRoGjlvLQZ1pBcxbK99++N5L+LFIFSJnIPJpFIJOJzshEjYOFCkZQVFQU9e4qYd4MBatQAV1fRbpUhgzB99s9iFj1YmzcTvWo7bpaw1/Ml+mXkm8iG3M7TiM2BpcFgoFAhUe0zeLDw54mJESlcPzdmnjhRvN6woRizf7/w/WnQ4D3fFMlHgxSBJCmWDTO+Z8WoTQxc1o2t8/cT/iKSJecmcnL3JWZ98Q3DvulOub/QvnX/6hOGNpyJk6sDU78fwOzPV3L56E16TGvF+unfo9pUZv84Ar+M0hr/Qyf4SShrp+zk4NoT2Kw2FJ0OxaBH00iu/NElVfwoCopBh4aCwcEOFQVNB47uTsTGmvDN4E1oeBx29gYKlszKhSuP0et1NGpcDAc3BxauOIp/dj+6daxI0UKZAPj+8DUmLjoAgJODkdzZ05Ariy/xiRYCX0bx4mUUQaHRmC1CmHJzcSCTnydYVZ4EhBAfb8Fo0GFUdCTGmtCpYABsJis6VQOL8PjRzDaUV14/r4SeN3x9Xrd9qRqKAumz+FC8WgFK1SqMf7GsODjZ/zvfIMl/GikCpUzkHkwikfzXiYiA1q2FoXK3bvDll7BqFfTvL0SgDBng9GlYuRLy5TAxvvwBVtTaDDt3CkfoJO4q/hxwbUxk5UbMO1EEFIVz50QVT9q0wge6XDnhxfPgAXz1FSQk/Lovz4MHwlja0VGIQTLBS/J3kCKQJMVis9r4qup4AgOCGbyyByObzKZa67J8MbsdvSqMJT4mkSWnx2Lv+NttK5eP3WZe/zXU6ViRht2rvj7+yiw6bRZfxm38kontF3D7XABdJ37GqvFb8fLzYMbBYbh5ubyHK5X8vwl7EcHaqTvZs+KIEHwU5bX4o+iTI99F5Y+CzqBHVUBvNKIY9FhtNjzTeBAWFoenrxtWRSE6KoEylXNjUTROnbpPvvzp6TegNt+uP8mhI7coVTwrY4c1wN4u+X9uTdN4+iKCG/eDuHEvkBv3XnD/cQjOTvak9XXHx8sFnQZRkQkEPY8kNCQGBXB2tEOnasRFJ6LYNOx0OqwJFmHynOTrgzUp0cv6hvCTZOysWa2iyfvVc5sN34zetB3WkEpNS2EwStc/yb+PFIFSJnIPJpFI/ss8eAAVKkBYmIhZDwiAQ4eEODN/PowbB7evmrm34CDnB23kM/vt6GKikyfInx8aN2aXXWMWHc/LmLEK58/D5s2icqdXL5HCFRIiWr527YKiRWH7dhHv/tNPkPOXtpESyf8VKQJJUjRP7gTyeZmRFK6Ul4z+adk8dx9T9wxC02BQvek061OTjqMa/+I8TdPYMv8gK8Zuwd7RjoQ4E+2HNaD5V7Vej7nw4w1GfjaXPCWzMXRFd0Y1m82jm8/oNLYZS4euI2fRrEzeNUB6o3xARL6MZsOs3excfAibVRVePwY9aJoQfDRQdDp0dgZUFfR2BjS9Dk1TMDraYTJbSZXei9CQGJzdHXH1cSPwWQRZsvuRNV8aDh++hU6n0LJVaT4pm5MxU3bx9Hk4HduUpVXTUuh0725PVFWNuw+COX/xEWcvBHD9ViA2m4qdUY+7iwOxkQmY480oKMkVPzbR2vUquj3Z3PlVhY8GalKy12uz52SfH/+iWWg/qgmFK+aRqV6SFIUUgVImcg8mkUg+JK5fh9u3IXdu4cfzd2nSRJg5jxwp0tp1OhHxfu+Wlcszf2RLs/W0ddn2VsVPoE9B9rk2pdqSJqSr7M+xYyKOfdUqqFJFjNm2TQhIJ09C7dpCEDpyBHbsEM979YJmzeDuXfDx+fvXIZG8CykCSVI8W+fvZ/GgtXz5dQc2zdyDzqBn4cmxfD3gOw6tO8mcH4aRo2Cmt86Z2fsbDqw9Sdl6Regzqy0LBq/jx01naNitCu2HN3xdPXR40xmmdF1K6dqF+XxaSwbVmUpkSDTN+9Vh2fANlK5blGGrP0evl+lIKZmo0Bi2zd/Plq/3YTFZQXnV9qWhtzNiUzUUgx5Fp0NTdOiNevR2BsxmGw6ujiQkWPDJ4EV4eBx6ox6/zD48fhSKu6cTlWrl5/CxO4SHxVKlal66dK1EcFgM/YdtxGZTmTiqMcWLZP7VdWmaxvMXkVy5/pQr155y7uIjwiPiAPBN5YoBCH0Rhc2iYmfQo1psSa1dWpLQoyVX+ryKc3+zvcv2RuvXq+eahrOrA0Uq5aXV4PpkyZfh/X0jJJI/gRSBUiZyDyaRSD4E4uNFOtaFC5A5M1y5IoyUN2wQ5sp/FUdH4eFcpQqMGaVSx/04p79aT7ZLm/Eh9PU4W5787HZuRniVprQe58/o0cI/yGwWrV4TJghB6RWqCm3bClPnAgVEdZGqitj3Jk2gXz/xvps3//W1SyR/FCkCSVI8qqrSr9oEntx5wZdz2jOx/UI+61ebpn1q0aXEcPwypmLm/sFvxVh3KjEcJzdH5h4ciqIo2Gwqi4auZ9fyI6TJnIrPp7SkWJV8AOxY8gMLB62jRLUCdBnXlMF1pwJQvU05vpu8g1odKtJ7bntZRZECCQ0MZ8vcfexa9iMWkxVFJ1K9ACH+2FT09kZUVRMJX5qGk4czcdGJuPm4ER2ZgE96L0xWG9FRCZSomIt7D14SGR5Hs7ZlKFnen0ED1uHl5cyAwXXImzc9AOcuPmTUxB3ExZvx8nSmUrlclCyWhajoBAKDInkRFMWLoEiePo94Lfq4ujiQxtcNm8nK04BQVJuKk6MdNpMVS7wZg06HarKIFi6bKgyfk3x9RFtX8lctqc0Lm6j20ekU8pbMRoVGJSj2aQFSZ/aRP6+SFI8UgVImcg8mkUhSMsHB8P33QuxxchKPq1dFVPrq1fDkiRBj2rX7a/N7eWpcXHGZl7PXkv74OtJqz1+/dht/ttk1Z43lM26RG6NRVPYULSpet1ohNlYkdv3aNkzThG/07t1w+TKcPy8EoQcPoGBBWLsWvLz+2rolkj+DFIEkHwRP7gTSs/RIStUshKOrIz+sP8m8o6N4ePMZ03usoM/cdtRoU+71+EXDNrD7m6NsujsLB+dk09srx28zb8B3PLsfTOPPq9F5dGMURWHPN0eZ13cNhSvloePIhgyuOx03L2eKfZqfHQsP0nJQfdqNaPRvXLrkVwgNDOe7STvYv/oYqpp00KAHksUfO0d7LBYbRkd7LGZrkugTj6uXK4kmC4pOR+qsPjwOCCFzDj/ylczGnu0X8fZxZdjEJoRHxjF54i7s7AzMX9gev9RvZ3CazFbOnAvg0JGbnDr74LW5M0Aqbxf8fNywM+rRLCpBzyMICY5GgWThJ86MXqdDsamoZouIcLckt3u9qu4hqdpHS0r0eu3zo6o4OtvRuHdN6netipu39K+SfFhIEShlIvdgEokkpbJ8uaiY8fcXFUBGI/j5iXYwBwchphRL+l/l0aM/GZ8eEADffcfTqWvJEHv79eHHSiY26luwxtqc60oBGjVWCA4W4o+qQpEiQsz5K0RECAErbVrIkeOvzSGR/BWkCCT5YFg/fRcrR2+m/+IurBi1Ca80Hsz5cQQD607n+f0glp0bj6un+EX40rFbDGk0i1GrevJJrbdrQs0mC0uGb+T7lUdpPbAurQfWBWD/mp+Y9cU3VGpaktodKjKs4XTSZ09Nptxp+WHdSXpOb0397p++9+uWJJMYZ2LT7D1snLUbq8UmEr10OjQN9PYGbFYVJ3cnEuLM2Dk7YDZZcfV2ISYmEQdnBwwOdsREJZAlb1oCn4te7k8bFuXatWc8vP+S0hX8+XJIHTZvOsv6dafIkTM1o8Y0Ik0aj3euKzbOxN17QdgZ9TwMeMnZ0w+4cP4hJpNV+P24ORITHoc53oJeUYSoY7ElCT/q6ySv5FYv7bWhMz8/pml4+brSZmhDqrYsIz2rJB8sUgRKmcg9mEQiSYkEBAjPZaMR6taF774TKVqKImLVU6cWMe5+fqKVq2NHaPxL29C3CQuDjRthzRqh6iQRbvDhe6fPePhJSxZdLsXLEIWSJUW72YEDkCkTdO8O06aJyqO+fcWfJZIPhXftwWR8jCRF0eTLmhzffo7lIzbSYXQTZvVayea5++g1rRW9Ko7l2wk76DW9FQD5P8mBs5sjp/Zd/oUIZGdvpOeUFpgSLayZugubTaXNoLpUb12WiOAovhm/DVdPZ4av+pzRzefi5OZIyZqFWDjgOzx93SnfqMS/cfn/aWxWGwfWHGfV+K2EB0WhNxrRkhK+FIMeTdWwc7QnMcGCVVXAYEBvZ8RoMBCfYMEvow/BgZGkS+uCk7cLDx+EUKK8PxlypmbTmlOk8nVj5JSmlKmYi/lfH2TblvOULpOTESMbYGf/2/8URkXFc/v2C27ffM7ly4+5fu0Zqqrh5uZIKk9nQgOjsESZiI6zoJqt6KxJ1TyWN3x/NC258seWFOn+xuOVz4+jsx2FKxagRrvyFK9W4K32R4lEIpFIJJKPmTlzxNdr10REe2SkEGBu3BCCUL9+olKoZk1RYePg8BsTmUyiH2vVKvHVahXHnZ25lqMhxzO0oseWquS6ZEC7BTvGQv36wq8nY0bh37N8uThlyxZwdhbtZ8OH/8nKI4kkhSJFIEmKwmA00G9RZ3qXH8OZfVcoU68o303eQek6RajTqRLfLz9MjbblyF4gIwajgTJ1CvPTzov0nNTirZYwAJ1OR59ZbVB0Cutm7Cbg+lMGLurEZ31rERUey7YFBzEY9fRd0JFpXZdSum4RcpfMxtQuS/D0cyd/Gf9/6S789zh34AqLBq3l2b0gDHZGFL0exaADVUPR69AbDeh1esxWFQc3J0wmK15pPQkPiSFbvvSEhsQSHhpLxQZFOHnkNo5Odoye25rngZEsnn2AitXy8tXQujg6iYqaYsWycujAdc6dfcCGDadp9llJIiPjCQ6OIjgompfBUTx5EsatW4E8fxYOgE6nkMrblXR+7gQ/jSA2KAabgxE7DWxmC4pVgUQLik1Dr4BqtoCW1OpltQEa2s9awDRNw8XdkQY9qlGufjEy5UknfX4kEolEIpH8J7l0SfjnZEjKu5gyBcqVE9um9etFqtauXcKQeciQ5FQuQHwAd+4cfPutGBwu9m82dBykBmuUNgQXqI9PZmfy5wfFCCVKiAeI9rMrV+DECVi8WBy7dUuYPL/5evny7+deSCT/JLIdTJIi2TR7D8uGb6D7lJasnbqL9DlSM3pjH7qWHEHaLL7M2DcInU7H9dP36F9nGn3ntadai9K/OpemaexafphFwzaSLqsvo1Z/TrpsviwctI6dS3+k2Zc1cPN2YdmwDVRrXY7rJ+8QFRrNzIPDyZQ73Xu+8v8Wzx8Es3jwWs7svYzR3ojVYktq8bK89v1xcnciIdaEm4870RFxeKXxICoyHkdnB9Jm9eXu9edkzpkavyypOH30DgWKZ2HQ5Gb8dPgW86fvo1zl3Awd3xi94e2qmvDwWObPO8iRw7d+dW3e3i5kzOiNUacjLCiKxw9C0FQNRyc7FJtKQnQCChp6FGwmCzpAs1iThR9Vex3n/rryJ8nvR1NVMuRMzWd961ChSUns7I3v4W5LJO8f2Q6WMpF7MIlEkhJp21bErD96BN7e4tiVKyLOXaeDfPnE8atXRcJWhQqI8p3Vq+Gbb4Rqk8R1fUF+SN+Oc9lb0OKr1EyYAJ6e8NNPkCaNqDYyJm2/oqIgZ07h2XPqlBB8KlWCdevA1xcqVoSdO0Xce86c7/eeSCR/FekJJPngsNlUBteewv0rj2gzrBFLhq6n++QWOLk7MbPXN/Se1YZa7SugaRpdPhmJeypXZnw/8J1zXvnpDhM7LcZgNDBz7yB803vxdb817F55lJYD6mCKN7Fl7j4a9arO4Q0n0Rv1zPphBD7ppIX//5vEOBPrpu1i85w9aBqoqoaDqyOJ8WaMjnZYzFacPZyJjzXh5u1KXKwJo4MRe1cHosLi8C+SmWePwjCbrFRrWpwrFx/z7FEoLbpWoEn7ciyadYB9Oy9RqlxORkxuitGo/821nDsbwLWrT/DxdcPb24Wo8Dju3wriwun7BD6LAMDd3RFLgpmEmEQUQK+AzWQR7V6vU7ySPX3e8vp55fOjqihoFK2cjxYD65H3kxyy6kfy0SNFoJSJ3INJJJKUyNGj0LChSAPr2FFsrZYuhZgYOH5cCEIuLlCnmhnnH3fBypWwb58YCEKxad2aMQ/bEpe9IMuXQ506sGOHeDkhAbp0gb17hRDUo4c4Nns2VKsmPH+GDIGZM8HOTvgDdekCQUFCNDp48N+7NxLJn+VdezBpOCFJkej1Ovot7oymwem9lyhRvQArx2whT4lsFCqfi2UjNxHyPBxFUajesgw3Tt/n3pXH75yzYFl/pmzvhynBzMD60wkMeMnn01tRvU1Z1k77Hp/03lRpXpqtX++nWtvyxEUnMLT+NGKS4r8lfx9N0zi56wKdigxi/YzvUTXQGQzo7I1YLDYUox6dUY/BwR6bCp5pPImOSiBtdj8SzTacXBwo8Wl+7lx7Thb/NHQcVJu9Oy6SEG9iwqJ2tP28Kvt3XWbfzkvUbliUUVObvVMA0jSN9Ok8SevrzqUT95kybCuzxu1i346LKICbkxEl0Ux8aAxqvAnFZEFnsqDGJqKYLJBoBrMZTGYwW9BMJjSzGc1kBosFzWwBi4X02XxoM6Q+q27MYML2/uQrnVMKQBKJRCKRSD5qNE2IJ5cuJes076J8eWjZUvz58GERtW6zCVGmWDHoVPoWn53rj7N/emHcs3u3cI1u2FCU6jx7BjNmsD+oIKlTQ2KiiGO/dQtu3gQ3N9i+HbJmha5dYetW+OEH0V42Ywbo9TB1qugoc3cXptRTp4o2tLVr/9l7JZG8T2QlkCRF8/2yH5nX51s6jWvGhpm7yZovI33md6Bn2TEUqpCb0Wt7ER+TQMcSI/BN78XsfYPRG377l36Au5ceMfyzOej0OiZs7EPm3GmZ0H4Rp/Zcpv+ijhzddIZzB67yWb/abJq1m9wlsjNxR3+Z0PQ3CX4SyoL+qzm9J7n1y9HdmYTYRJzcnYiPTcTd153o8DjS50jDiydhOLs74prKjecPQ6j2WUmePw7nxoVHNOlSgUy50jBzxFZyF8zI2K/b4Owq3AFDgqPp1nIR6TN5M2tJB/QGHaqqERudQHRUAk+fhHL3ZiB3bgZy79YLoiKuORiRAAAgAElEQVTjAfDwdCJVKleiw2IJCYxAAVyc7YmNiEPRNOyMeszxJhTlVduX9iteP8lVP44u9jTvV4cabSvg4ev27914ieRfRFYCpUzkHkwikfwRVFW0QN29K1K7SpcWmssf4fJlaNVKVNqYTBAdLapyRo6E3LnfHnvzJkyfLgSj7NlFK9b9+8L4uUX9eHJf2yhKgt5I9yJfPujUSbyJj89b87VvL6qHdu6E0FAh6ISHC/HH0RFKlhRi0Lswm+HOHSEipZPuEJIPENkOJvlgUVWVwXWmcu/SQ1oPbcjSYRvoOa0VFouNpSM2MXRld8o3KMaxHeeZ2GkJnUY2omnvGr8779N7LxjSeDbxMQmM+a4X/kWyMKzxLG6de8CIVT3ZPGcvN8/cp1GvamycuZtyDYsz9NueMq3pL2C1WNk2/wCrJmzFZlFRVQ1HNycS4kw4uTuSEGfC2d1ZRK072uHi5crLZ+HkLp6VJw9eAlC/UwV2rztDYoKZ3mMbYVE1Zo/eTsHiWRg9tzUOTm8LdEcO3mDisC2k8nXDlGghNiaBN/+p0+kUMmbxwcfHFVOCmaf3g4kMi0WnU3BzdSQ2Ig6bWUS/WxLNb/n5vNXupWlvpHxpaKqKX8ZU1OtWhZrtKuDs7vQ+b7VEkuKQIlDKRO7BJBLJ7xEWBrVqiWqakiXh2DEhhuzYIVqy3kV8vPDXGT9e2PVYLFCwIKxYIVq9FiyAZs3E2AsXoEYNEcFeuTKcPSvO2zr6KmVuLBHR7lFRYrCLC7RoIcSfEiV+U5G6ckUIVn5+kCULfPmlqCZSVfF+PXvKuHfJx48UgSQfNC8evqRbyWHkK50TnV7PtRN3+PrYaKZ2X07IszCWnhmHi4cz49ov4tyhayw4MpIMOVL/7rwhz8MZ2mQ2wU/DGLa8G3lLZWdA7am8eBTCmLW9WDxkHYEBL6nWuiw7Fh6kQc9qdJ/SUrbx/AlunrnPnC9W8Ojmc/RGAygKejsDqqph72RPQpwJt1RuREfEkSl3Op49DMXZzZE0WX24c+Up/oUykrtYVnasOkmGbD4Mnduam1eeMmfMdoqWzsHI2S2xd/h1U+VNa05y99YL3Nwdkx5OuLjYExURT8DtQM4fv0t0ZDwGox53d0eiQmOxJlowGnRYzRZR1aNpv/T6eeX/o2mvhR9FgU9qFaZhz2rkL+svf0YkkiSkCJQykXswiUTye7RvL9qn5swRWouqCuNmPz/ROvUu1q0T4k+9eqLlat8+YezcqRN4eIjk9idPRFVOnTpQty5064YoG9q4kYhJi/C8czp5wlKlhDlPs2a/r0AlMXKkWHtMjFi/wSB8f168gKFDoVGjv3xrJJIPgr/tCaQoSg1FUe4oinJfUZTBv/J6RkVRDiuKcklRlKuKotT6u4uWSF6RJosvncY248Kh6+QtlR29Qc/cL7/ly9ltiA6PY/noLSiKQq+pLbGzN7Js9OY/NK9POi+mfz+ATLnSMr7DIh5cfcL4zX3wSOXKuLYL6TimGZ4+bhzZfIaqLcuwfcEBNs/Z+w9f7cdBXFQ88/p8S9+q43keEIKi0+Hk7oyqgYevG7YkI2i9vRG9nYHshTPz+F4wRSrmxtnLmYBbL+g0pC5VGpdg+7cnqFyvMHM2f0Gm7H4c3XsVAEdnOyLDY39zDU1bl2bIuIbUrl8YVyc7Lp+4x6JJ37Ns2h5OHrqBi7M9Dnod1phE4kJjUcxWFKsV1WIBsxWdahNePxaL8Pkxm9EsFjBbRBuYxUqmnKnpNuEzNjyYy6h1vSlQLpcUgCQSiUQikXzQ2GywcSOMGpVcbKPTied/xBvn5UtRgbNnj9BuXhXS+/iItrCsWUXFD4gOr6YF74pSoHTpoH17PO+cJhJ3LN17ibKeU6eEU/QfFIAAhg0T5s+DBkFIiBB/8uQROlPdun/yhkgkHxm/KwIpiqIH5gM1gTxAC0VR8vxs2HBgo6ZphYHmwIL/90Il/23qdq1C0ar5WTtlJ0161+DaiTvcOHmPxp9XY9+q41w/eRcvP3eaflGdM/uvcvPsgz80r7u3KxM39yFtVl/GtFlAeHAUU3YOwNndicldltBjWisUReH6yXuUqlWYZcM3cHDtT//w1X64aJrG8e3n6FRkMLtXHEZnMKDodNg5OWCxWPBM7UFIYCTpsqcmIiSGnEUyozMYeHTnBc16fcr9m8+JiYxn4pruZMubniWTvqd4hVz0ndL0dcvXyDmtaN6lAmeP3aFzvTmsmL2fuJhEACLD4zj/013WLjnMmC+/o3nFyfRsOp8l0/YScOcFfn7uuDvbkRgRT8iTMOz0CorViik2AdUsBB+SzJxVkxB9NLMFrFawWMVXm41y9Yuy9MIkFp+dQKMvauCeyvXfvO0SiUQikUgk/zc0TWx5HB3fPu7kJPx93iQsDGJ/9plchQqwaxfY20NkpBBh6tUTvj87dwqj6PPngRcv2G2uitcn/jBrFkREQPHihExZQT7PQPTz50GBApw5Aw0aCPGoWjXYv//3r8HeXhhLP3kCadMKfSkwUBhBG3+9iFwi+c/wu+1giqJ8AozWNK160vMhAJqmTXpjzGIgQNO0KUnjZ2iaVvpd88pSZMmfJSwokh4lh+OVxgPvNJ5cP3WX2T+MYFSLeTg42TH/2ChsFhsdig8jffbUTN3R7w9XZYS+iKBvzSmYEi3M3D0QvUHHV9Uno9fr6DW9FZM7LiJNFl9c3B25fvIuo9Z/Samahf7hK/6wePksjPn9VnN69yUcXRxIjDe/bvXyzZSK0BeRuHo5o+j0REfGU7xKPi4cu41POk/qti/PmjkHcHF3ZNw3XXkZGMm4z1eTLksqpq7uhqvHL711QoKi+HbeQQ7tuoybhxMOjkZevoh6/Xq6TN6ky+CNarXx6HYgYUHR6HQKLq4OREfEgk3FaKfHkmB+y+9He+X/8zOvH4NBR5n6xWg5oB6Z86Z/n7dWIvlgke1gKRO5B5NIJG/y9KlonTp7FjJlgl69hC9PxYrQr1/yuCFDREXNN9/AmTPwxRfCPFlVhX/Q/PmQKpUY26GDKOCJjhYtYHFx4O8vLH3GjBEVOQf3WslSJQvG6DBszVri3L8H4VmK0rIlFCkCEyfCiRMi/GvcOKhSBc6dgwEDRKx7kyZ/7Ppe/bori7Ul/yX+lieQoihNgBqapnVOet4GKKlpWq83xqQBDgCegDNQVdO0C78yV1egK0DGjBmLPn787khvieTnnN5ziVHNZlO3WxUObzxN1nwZadKnJqOaz6PVoLq0GVyfnct+ZMHg9Yzf0JtiVfL94bmf3guif52pODjbM2V7P+Ki4hlQeyqp0nnRekAdpnReQp6S2YmPSeDJ7edM3jWQvJ/k/Aev9sNA0zT2fnOUJUPWYjHbhO+PQQ+KDnTgnsqNkMAIMuVJz5O7QaTN6oN3Wm+unb5PmZoFSZ3Vhy1LjpA9X3pGLe1I0NMIhrRfSuacqZmwohNuns7vfP97NwPZsOwoeoOOrP6pQdV4ev8ll0/cI+xlNDq9Djd3R6LDY1AttiThxyJ2LPxM/HktAGmvxaCchTJTp0tlyjYojrOb4zvXIpFI3kaKQCkTKQJJJJJXBARA2bIimr12bbh+XYgvw4fDpElQrpwwhj5yRLy2bh08fy7avObOFTY98fHCg+fsWfjpJyG22GzCF2jECJHcXqiQSPsKChJVQjt2iHnmtzvL5K05mbrEg3TpxNg2bYSRs9EI1asL4ah9++Q1Hz4MPXqI6Hcp7Egkv877EIH6Js01I6kSaDmQT9M09bfmlRsQyV9lRo9lHPruJ1oMqs/aKTvpOrE5964+4di288z9cRgZ/dPStfRI7B3tmH94xO9Gxr/J3UuPGNpkNkZ7A+PW9yYuKp7hTWeTOU96arQuy7w+31KyZiGe3H5GTEQcs38YSfo/YEL9sRIRHMWsXis4s/cyHr7uRIXG4J3Oi7CgKDLlTktYcDSqqpLBPx13Lz+mWovShARFcen4HbqMbIBi0LNk3A4+bVqCXuMaY2dv5NShG4ztuYpOA2vRpHOF311DyItIrp4J4Mzhm5w/doeEODP2jkb80noQ8TKKmPA4HBztUK02zAkmjHYGLElR76rVlhT5LqLesQkxyN3bhdodK1K9XQVSZ/L5vSVIJJLfQIpAKRO5B5NI/hvcuSM8cfbvB71eJGZ9841oj3pF586QPj2MHp187NgxUclz7pzwALp7V1TxHD4sHo6OosWrf39RMfTKODp3bvj2W+Hj/Ir9+8WYHj2EOfPp08IryGQCZ2fRGmY0CgPnhw/FWry8ks/39hZij69v8jFNE61pISF/yiZIIvlP8XeNoZ8DGd54nj7p2Jt0AjYCaJp2CnAAUv35pUokv0+3SS3wSu3Bsa1nKFG9ACvHbKZe50q4ebswvccKADqNbsKjW4Hs/vbYn5o7Z+HMzNgzEINRz6AGM3D1cmH4Nz0IuPaUHzedof2oxpzZe5lcxbOjKArDG00n8mX0P3GZKZ7Tey7RreQwzh+6jounCzER8Xim9SQsKIrcJbPx+G4Qnqnd8c3ky/2rT2g7uC4PbgVy5eQ9+kxrgV/GVCwdv5PS1fPz5aRm2NmLBu1SVfJQvEIu1sw7SPCz8LfeU1VVnj0MYf+ms0wfuIH2lSfTtsIkpg/cwNUzAWTI4oNfajdM0fE8uROIZrWB1UZibIIwdbbasCaY0KzWpOdWNLPw+dEsVjxSudBnXnvW3ptNu5FNpAAkkUgkEonkgyQoSHjznDkjKnl69hRiSubM8NlnIiErMFAIPq/i2l9Rrpxo34qLE61hc+fCtWtCrHn6VLRlTZkiBJ5ly8Q5Op2IgX/06O25ChcWFURlysDYsWLO9euFqGQyQbt2YpyrKxQo8LYABKI97erVt4/duyfGO/3SLUAikfwB/ogIdA7IoShKFkVR7BDGzzt/NuYJUAVAUZTcCBEo5P+5UInkFS4ezvT5ugNP77wgdaZUOLk4sGDAd/Sa3oqHN56xfsZuytQuTOEKuVkxditBj0P/1PyZ/NMyY/dAHJ3tGd5sDpnypGPQks7cOnufqyfu0rBXdQ5vPE2ZesUID4piZLNZJMaZfn/ij4T4mARm9VrBqGazUXQKqqphdDBicDBiTrSSKW96bp1/SIlqBYiLNhH8JIweEz9j3/ozPA94yeiVXcmQMzVT+6zBv1BGBs5uhV6f/E+Roij0GtMAnU5h9rAtHNx6noXjdtC/xUKaFB1Nl+rTmT1sC+eP3SFdplSUqOBPhsxeRAVHcvfSIxLjEjHoFDBbMcUkJJk6W7DEC/FHNZnBahPVP1YbmtWKm6cTvWa2YfWtmdRsXxGD0fAv3mGJRCKRSCSSv8fixSLOvX592LIFsmUTlTcWi4htnzsXMmYU26SHD98+NzJSePZ4eIjnCQmiDWzuXCG8FC0q/H6mToVFi5LHHDsmRJ838fUVAlTZsqIdrFMnWL4c7t8X448eFQLTb9Gnj/AeunlTPH/yRMzRu3dy6phEIvlz/O5fHU3TrEAvYD9wC5ECdkNRlLGKotRLGtYP6KIoyhVgHdBe+70+M4nkb1C8WkGqty3PriU/0ODz6ty79IiH155Q5bNPWD9zDwHXn9Jndlt0isLsPqv4sz+Ovum9Gb/xS8yJFoY1mU2eUtnpM689Fw/fJOxFJFValGbft8eo2rIs9y4+ZFzreVgt1n/oalMO9y49pMcnI9i/6hheaTyJCo0lbXY/IkNjyZwnHQZ7A0FPQqneuhwXjtzC2d2Rocs6s2r6HiwmC1M396ZoxVyM7/4Nik7HiEUdsHew+8X7+Kb1pH3fmlw+dZ+ZgzdxYMt5NE2jaoMidBlcmyYdy+Hp4cDFIzc5e+g6ibGJODnZgcVKXHgsNpMZbDasiWY0q0j10iyvEr6E8KNXNMrULcLYTX1Ye282dbtUwWgnxR+JRCKRSCQfPtevQ3CwqALy9xfCy927YGcn2qkePBDizOPHoq3r2TNxXnw8fPklNGokqm1ApH/pdMmmz+3awcWLolUsMFAIQnXriuQuf/9frmX8eMiRQ5hEd+0qkrtOnBAR7lWqJCWF/QZt24p1VqkixhcuDJUqCZNqiUTy1/hdT6B/CtmPLvm7xEXF06P0CNAgZ7GsnPr+EpN29mdS56V4+bkz94dh7F11nK8HrmXQ4s5UalziV+eZO2Atl47dpvOoRpSuWfCtRLGbZx8wvNkc3FO5MHlbP45tPcvy0Vuo06kiwY9COH/wGjXbl2f38sNUaVGa/ou7oPsIP5bQNI29K4+woP8anN2d0DQwJZrxyZCKZ/eDqdqqDKf2XMbByZ4abcuxduZeilXKw4AFHRjVbjFP7wczd3d/0mYR7VVLxu9g2/Kj5CmWhcFz2+CTxuNX3/PyqQd4eDsTFRbD5RP3uHj8DvevP0fTNNJk9Eang+f3X4Km4eLuSGx4LDqdaEy3Wazo9DpUs1XsdjRh9uyTzpOWg+pToVEJnN1lHbFE8k8iPYFSJnIPJpF8/AwfLtK67OxgzRqR8pU6tWitevlSiELt2oGbm/DwuXhRVAs9fAjly0PlyqIiqEwZ0VaWP78wa65eXcz/4oVI7bp+HbJkEWLNV18J359fY+JEUcXzqnIIxPasSBGYMUO837uwWMS6vb1FRZFEInk3f8sY+p9CbkAk/w9unrlPv2oTKFWrMHcuBODm7UqLgfWY1HExHUc1pvEX1elTfRKhgREsOz0WZ7e3f+nXNI0W+QYRExmPalMpUjE3PcY3I312v9djbl8IYFjTOTi7OTJ5W1++X36YrfMP0nJAHS4fucm9iw+p0KQEB9f8RNM+teg8/rP3fRv+URLjTcz98ht+WHeSdDnSEPQohFRpPbFpEBMRR5Xmn7B/7Uky5kxNhUYlWTVlFyWq5mPY8i58O3U3Wxf/yOAF7alQr8hb8x7ZdYk5gzdg52Bk4KzWFC0vPjqy2VQe3g7k2ukHXD55j6un75MYb0Zv0JEhqy96vY5n94MwxZtxdnXAZrWRGJOAwajHkmgWRs82Ee0uxB8VTdXIkCM1LQbWpULjkrLdSyJ5T0gRKGUi92ASycfP06eQM6cwbX75EvLlE+bNTk7C2Dl7dti0CXx8oGNHGDZMeAaFhYnnZcuK6p2tW4WQVKSISPUaOlQkfR04INK/jh0T436PFy+EZ9CrRDGTCSZPhu3bhTn0R/gZqkTyryJFIMlHzfrpu1g5ejMNP6/G9oWHaN6/Ds8evOTM/issOD6axDgTvT+dSL0ulegxsflb5z4PeEnn0qP5fHJzbFYbq6d+jynBTIMulWjyeTXcvUXkwL0rjxnaZDb2DkamfT+A1RN38OPG03Sd8BkHVh8j+HEIRavk4/i2c3Sb3IJGvWr8G7fi/86jm8+Y1H4hj289J12O1Dy/H4x/8Ww8vvMCB2d7CpbPzdFt5yheNR/5y/izcsIOSlbLz9Clndn1zXGWjdtO3Xbl6Dmh6a/O//RBMBM//5bHd4Op/llJIkNjuH42gNjoBADSZk5FZv80WBLM3L38mKiwWIz2Bpyc7Yl6GQWKgkGvYDFZhPhjtYmJbSLeXdM0chXLSqvB9SlercBbVV4SieSfR4pAfx9FUWoAcwA9sEzTtMk/ez0j8C3gkTRmsKZpe941p9yDSST/DRYvFsbOVqsQgzRNiD+9esHx49C9u2jhundPVAFpmjBnHjpUxLLv3QutWon2rVy5hC+Pt7fwGipSRLSNZcz4x9dz5oxo7Xr0SFT2lC8v1pgu3T92CySS/yxSBJJ81NhsKoNrT+H+1ccUq5qfE7suMmpdb6b1WE6GHGmYvncQi4auZ/fKo8z7YTjZ8ieH3Z3ad4Wx7RczbXtf8pXKTmRIDCsnbufAulO4eDgxaWNvshcQ/7sF3HjGgLrT8PBxY8r2vszp/S0XfrxBj6kt2TJnL/HRCeQolInzh64xaEV3Kjf75N+6Jf8XTu66wOROi7B3sMPBxYGI4CiKflqAM/uvkrt4VtJk9ePHzWdo0K0K2fJnZGaf1ZSpXYhBCztiMVtpmmcQJarmZfjSzm8ZP/+cxAQz80ds4dCWc6TNnIr8JbPhl96T2PA4zh+5xZO7QRjt9Hj6uBH+IgKr2Yqjsz3x0fEoiGoubKqYTBUR7wajnnINi1Ova1XylMz+fm6YRCL5BVIE+nsoiqIH7gKfAs8QYR0tNE27+caYJcAlTdMWKoqSB9ijaVrmd80r92ASyX8Di0WkgQ0eLISgMWNEBY6Dg2gNu3sXmjeH774T4+/cgU8/FT5BiYkimWv7duHlM2mSqAQqVUq0b9Ws+dfWpGnCq8jO7pdJYBKJ5P/H342Il0hSNHq9jr4LO6HaVKLDYkiVzpNFg9bSeWxTbp17wJZ5+2k3tAGuXi7MH7QWVVVfn+tfODOKonD15F0APHxc+WpWG2bvHYiTiwNDms7h3pUnAGTNm56x674gNDCcUS2/5su57cj7SQ4WDlpH0z61UHQKT+8HkbtEdmZ0W8r5Q++IOkjBaJrGptl7GNtyHmmy+OLg4kBMRBzlGpXgzP6rVGxcguLVC/Dj5jM0612Dep0rsXDYRvKVys6QJZ0x2hmwd7RDp9eRIXvqdwpAAA6OdnwxoQmjlnSkaJmcXDp8k1WTv2fb0iNYzFZ807hjiTcR8SICJ2c7NKsVU1yiqGlWVbDahPhjteLobEeHUY3Z+HAeg5d3lwKQRCL50CkB3Nc0LUDTNDOwHqj/szEa4Jb0Z3cg8D2uTyKRpGCMRtGyNWYMXLgA7dsL8cVmE1+//TZZAPo5R45AnjxQunTyMTc3UcmzadNfX5OiCAFKCkASyb+HFIEkHwVpsvjSZUJzLh+9Rdl6xQh6FMKtM/coW68oqyftIORZOJ1GNebm2QccXHfy9Xlefu7kLpaFHzadwWJOTvfyL5yZqVu/wtnNiaHNkoWgvCWzM+Lbnjy+HcjETksYuqIb2QtmZPGwDbQb2ZjosFgS402kz5GGsS3mcj1JXPpQsJitzPp8BcuGbyBPqRwEPwnDYrZSvHpBDm8+S8125cmYOx2rJu2kYqMStBpYh8ndV6A36hk4v/1rwUev15EmUyoCH4b86vtomsazgJfsWHGUUe0W0yzfEMZ0WMKB9afw8nPHv1BGjHqNF/eDiI9OwGBQMMcnkhiTAKqK+irlyyYeDo5GPutXm1U3ZtC8f11p+CyRSD4W0gFP33j+LOnYm4wGWiuK8gzYA3zxfpYmkUg+BCpXFhU+pUuLVq59+yAqCq5cgdat3x6bM6cQejp1ggkTRKXQyZOi8qdJEzHmVVuZRCL5cJHtYJKPBk3TGFJvGrfO3qdqy7LsXn6Yfos6s3z0Zrz8PJh1cAhDm8zm8a1AFh4fhU9aTwDOHLjG6LYL6Tq2CQ27vh1NEPwkjEGNZxMXHc+oVT3Il1RZ8tOuC0zstIRC5XPx1dx2DG04k7AXUXQY0ZBFg9aSq3hWIoKjiHgZxdTdg8hROMt7vx9/lqjQGMa3/pqrP92mSOV8XD56i2wFM+KX2ZcTuy7S5IvqGB3tWDdjN5WalKT/1+1ZNWUXG+cdYPjyLpSpXfit+UZ3WMLjuy/4alpLQoMiCQ2M5GVgBCGBETy+84Lgp+GA8P3Jli89VrOV2+cDiHgZjb2DETsHA9GhMSh6HTrAZrai6JQk3x8NzaaSNX8G6nWrSqWmn+DgbP/+b5pEInknsh3s76EoShOghqZpnZOetwFKaprW640xfRH7uRmKonwCLAfyaZqm/myurkBXgIwZMxZ9/Pjx+7oMiUTygRAXJyLl798XRtJXrgjBJ18+OHsWzGbRDjZlCtSu/W+vViKRvAvZDib5T6AoCn0XdEKn13Hv4kOyFcjIsuEb6DyuKQHXn7Jh5h76zW2PxWJlbt/VvBJAS3yaj8IVcrFu1l5io+LfmtMvozdTtvbBxcOZgQ1msWDIBmxWG2XrFqXPnHZcPHKL6T1XMnL15zi7ObJm6i7ajWzEjVP3SJ3ZBxd3J4Y1nMHz+0H/xi35wwQ9DqHvpxO4de4BFZuU5NKRm5SpX5RMeTNwYtdF2g5rgH+xrKybsZtqrcrQf34H9AY9R7dfoFilPL8QgADylchG0OMwBjWbx7Teq1k5eRfHdl4k5HkE2fNloOWX1anXviw6NI5vP8/Z/VexdzBiMOhIjE1As9lQAGyqEH5sNjSLBb1eofJnnzDnyEgWnBxHzfYVpQAkkUg+Vp4DGd54nj7p2Jt0AjYCaJp2CnAAUv18Ik3TlmiaVkzTtGI+Pj7/0HIlEsmHzNKlwjg6OBh69BB+Qfb2cPs2DBwoxKBy5aBWrX97pRKJ5O8gRSDJR4VvBm+++rojdy4EkDVfBuKjEzi16yJVmn/C+pl7iIuOp8Owhpw7dJ0fN50BhHjUcXhDYiLi2Dz/4C/m9MvgzfwfhlKvUwV2rTzKrD6rUVWVai1KM2BBR66dvMviERsZt6k3Op3CzqWHaT2kPhd/vEHW/BnRVI0h9acR9iLifd+OP0TA9Sd8VWU8kSFR1OlSmaNbz1GxSUnSZk/ND+tP0aJ/HT5tUZo5fVeTs3Bmek9v9brtyzu1+1ttdG/SpEcVlh4bzsR1n7PkyDC23J7ChO96UqZ6fgIfBLF2xm52LT+KXq8jYw4/bBYLwY9e4uhoBJtKYnQiOjQ0swXVYsVg1NGwZzXW3JrJwCVdyVUsm0z7kkgkHzvngByKomRRFMUOaA7s/NmYJ0AVAEVRciNEoF/vxZVIJP9poqNFlY/Z/OuvHzwI7dqBu7toCVu9Gh48gDRpICZGeAEtXChawiQSyYeLFIEkHx3lG5WgdqdKHFhznIpNS3Ji5wXylciGp68bM3qupHqbsuQpkY2FQ9cTHhwFQPb8GajYqDjbl/5IWFDkL+Z0cnGg+/hmtB1Ulx82n2Xh0I1omkaVZqXoPbMN53+4wbqZexm/+SsS400c2nCaZn1rc2bfFe615zMAACAASURBVPKV8ScqNIZhDaYTExH3vm/HO7ly7Bb9qk1EUaBam/JsX3CQT2oXJmexrGyctZea7crTalBdpvVcgdViY/DizhiMhtfn+2bwJuhJ2G/O7+7lginexNZFh+hSZiy9q0/muxl7UBSFfCWz4uhk5NGNp4Q8DcPBwYhqsWGKFabPFpMZm9mKXq9Qr2sVvr0+nW6TW+Lp5/4+bo1EIpH862iaZgV6AfuBW8BGTdNuKIoyVlGUeknD+gFdFEW5AqwD2mv/Vq+/RCJJkZhMwtA5Y0YRCZ8hgxBzfo6Hh6gCehNfX9Dp4IsvoHjx97NeiUTyz2L4/SESyYdHt8ktuXHqHuf2XyFH4cwsH7WJblNaMaPnCtZP381Xc9rSs+I4Fgxex/CV3QFoO6guP+26yHcz9tB7Wstfnbd5nxrERSewZeEh9EY9XUY1okbrssSEx7J87Fac3RwZt6kPwxrN5NTeyzTo+SnbFxykdN0inN59kSH1pjJxxwDcvFze5+34Vc7su8y4pASwAuVysW3+ASo0KkHp+sWY1HExpesUpteM1vyPvfsO63H/Hzj+/LSHUiQjhGyREQqREYXsPbOyHXvvkb333lnHzt6UmZESoShkZCvtPr8/3uc4x/dwzuHHcQ6vx3W56O7+vO/7fp+L6z6vXmPX0qNcDbhJ3zltyZbH+r01suTMyMkdgaycsAM7+xxodDSEh9wjIuQ+d64/4Gm0CqgZpzOiqHNe9PVzcefafcKD7qKnr4uZhQlxqWm8ffUWfQNdSE0lOQG0qamYmhtTo01FGvR0J5ONjJAQQvyYtFrtXlTD598fG/m7P4cC5f/p+xJC/Hf0769KukaMADs7NTa+cWPInBkaNPjtvHbtwNtb9fvJkUP1A5ozR2UGOTh8s9sXQnxhEgQS3yVDYwMGLvOmZ8Ux5CuZm6iwaI74+lO9ZXm2zN5HWXcHWg7wZNX47ZzZdwVnj+JktbWiRotyHNhwhlb9a5HhAxknGo2GDiPrk5KSys6lx7h7PZrBi9rTuJc7sa/j2TRrH6kpaYxa14ORzeZw5VQYNdu5snflccrXKcXZPZcYXHsyE3cNJL2V2TfYGSXY/wYT2swnV5HsVKhXmlVjtlK7Q2VaD6+Pt9NI8pfMxeCl3ujq6nDhcDC5i2THrXm5P6zjVKMY5w+HsHXhYVJTVA9SHV0dcubPQlHnfOTMl5WkhCSuB0Zwfn8QWq2WHPmyYG1jyZOoZyS8SUBfX5fkhCT0dPVISkvDJn8WGvZ0x7WxE0Ym0utHCCGEEOJzvXkDS5aoLJ/cucHPT5V49e2rAjy/DwJVqwbdu0PRoirr5/59NWZ++3YpARPieyJBIPHdsitmS6shdVk9bhu1OlRm78oTtB5WACubDEzrupw5R4ZzfOs55g/agEOFgpiYGdGgS1X2rvFn1/LjeA2t+8F1NRoNXcY1xq5IduYN3kivGpPw2dwLr2H10NPTZf00P5ISkxmxrjtjW85DV0+X6q0qcHCdPy71HTnjd4kBHhOZ7Dfom5Q2XTh0lbHN55DFNhP1ulZnRrflONcqQddprZjdew2xL98ycXtfDIz0AYh58ALbgtk+2H+nQIlczD88lKTEZKJuPkKbpiWTjSVBp24Q4HeZTTP3EB+XqMa+l7Tl/s1H3LsRjam5Mbq6GuLfvMXQyABtWhrpM6aj+/TWVG7i/K7nkBBCCCGE+HwrVqiMnvBwSJfut2NTp0Jy8h/P79dPZQSdPatGypcpIwEgIb438n9a4rvWtF9tCjjm4cS2c5Rxd8B38m6a9nbn4Z0YVo3bRq8ZrXn28CWrJ+4AIFtua8rVLM6e1SeJj0v407XdmjkzfVc/khKSGdJ4Nk/uPaf14Dp4Da/PsZ/PcWTTGYav7krUjWju3nhI9dYunNoeSOnqDjy8+4QBHhP/8WbRp3ZcYHSTWeQskI2uU1sxt+8a7BxsGbSsM2f3XeHgOn8adncjj70aRqPVaomJfkGmbJYfXTMlOYXI69GEnr/Nusm7aF1sEBM7LSXI/wZ5HWzJVTAbz6NfcPPiXfT19SAtjbhXcZD265j37Axf14PlV6ZQrXl5CQAJIYQQQnwh+/aBmZkqB/uVl5fq/VOo0Ic/kyGDmgBWtqwEgIT4HkkmkPiu6erp0n9xJ7qXH0ni20QyZEnPtnkHqeNdhZ2Lj+DkUZza7Suxa+kxytcqQbHyBWjYrRoBey6zd40/DbtW+9P18xbLic/mXgxqMJNBDWcxZl03mvX2AGDVeJU7O3hZJ3zaL0Gjo8GzUxV2Lz1Kqar2hJwOo18NHyZs74+NXeavvhcBuwLxaTOfQmXzMmRlV/pUm0D6jGaM2dwbgOndVpK/ZC5aDfktAyr21VsS4hLZvvgIDyOfYpXVgoxZLciY1ZIn954RcuYW1wPDSYxXP0qyzpGRcrVKEPcyjisnrxN86gbprcwwNTci7kUcca9iQZsGWnD2LEnDnu4UKpP3qz+7EEIIIcSPKDlZZfY0aAATJ6pSrz171KQwL69vfXdCiG9BfuQuvns5C2TD26c5V46HUrKKPQ9uPyItOQXbgtmY2WsVTXrVIEsuK2b0Wk18bAKFSuWmVOXCbJi5j5jov87UyVMkOxM29SIpIZm+tady8VgozXp74DWsHsd+PsehTWcZtKQjEcH3uHr6Fg171uDikRDyOuTizYtYelYcTcCuwK+6BzcuhDOp/SIKOObBZ8cAVo7ZyvNHLxm6qisZMqcn+s4T3r6Jp1GPGhgY6r/7nJmFKa0GeuJYtQiPop5yYkcgq312MqPnKtZP9ePNyzg82lSk98zWtB1aF/P0xpz4+Rwhp2+Ru3B2zNIb8+rxS/UPjVYLWi2NenmwOmQaw9f2kACQEEIIIcRXVKcOXL8OixbB+vXQvDkcP66aQter963vTgjxLWi+1RRRR0dHbWDg1/0fXyF+pdVq8Wm7AP+dgZT3LIX/rov0mt2W+QM34FK3FLU7VmaA5zRqeVWkx9SWRN95QrcqPhQpa8f4DT0+2A/nfz25/5zRbRYSGfaQruMbU7tdJXYtP8aCQRso7lKQ+l2qMrnTUtKlN8GtuTO+k3eTr7gtKSmphAdF0qBHDdqPbYK+wZdN0Iu8/oABHhMxMTNi1tGRBB4OYVrnpbQeWo+Wg1XWz7kDVxnVbA6zDg2loGOeP10vMT6JZ49eoqOrQ9DJG5zYfoErJ66TlppGFlsrzNKbEH41Cm1aKhbW5rx4/Ap9Qz3qdnGjUS8PLDKZf9HnE0L8e2k0motardbxW9+HeJ+8gwnx44iPV9O+3r6FRo0gIgI2b4aNG1UjaCHE9+nP3sGkHEz8EDQaDb3nted2UCRhgRFkzW3Nxul+NPnJnQ3T9+Bcszj1u1Rj28JDlKtdgpKVCtNxZH3mD9nEvnUB1Gxd4S+vYZ09A9N29WNKt5XMH7KJ509e03pgbUzMjJjRczXxcQmMXN+DSR0Ws3v5CdqMaMD6iTuwssmAayMnts07wPXztxm6ujvWOTJ+kec+fyCIie0WYmCoz7it/Yh79Zb5/dZiXy4/zQZ4vjsv5v4zgD8dxZ6akkrYxTtcDbjJ1YAwrp66QUpyKtY5MlLUOS9P7j3jYcRjXhgbkM7CmFcxr0lKSKbRTx406umBhbUEf4QQQgjx43r5Eg4fBj09qF4dTEz+/+v5+UFqKnh4gLX1H88xNoaDB2HXLjh5ErJnhytX1O9CiB+TZAKJH8r187fpW208pWs4EHgoGNfGTjy4E0N0xBPmHB3OyOZzSYxPYrH/aAxNDBjebB43Lt1lxZkxWGT6eyPdU1PTmDdwA/vXB+DW1IkeU5pz8cg1fDouwTpHRrpPasbcvut4/vgVTft4sHf5MV49fUPFBmUI2HUBXT1dOoxrilvLCp+dFaTVatkyay8rRm4hT9EcjN7UG+scGRladxo3L99hQcDY9wJNm2ftY8UvY+KLOOUlNSWN1JRUUlNSSUpIJvT8bS4dDSX21VsAchWywa5YDl7FvObysVBSU1LJkisTsS9iefMijtxFslOnixtVmjrLmHchfmCSCfTvJO9gQvzzfH3V+PVy5SApSQVi1q2DGjU+b71t26BjR3B1VUGlQ4dg+nRo3/6L3rYQ4j/qz97BJAgkfjgrRm9h0zQ/XBs7cWLreTqMa8LaSbsoXrEQTfvWpH/tqdT1rkKXCU25d+sRXVzHU6utC918mv7ta6SlpeE7fS/rp++lYKncjFjhTfSdJ4xru5DUlDR+mtma7QsOEXruNnW8q/D47hPO7QuiiFM+EhMSuXXpLlY2GWjYy52aXq4Ymf79QEpifBKzeqzg6KYzuNQvTf9FnTAyNeTa2Vv0q+5Dx/FNaNTL473PJMQlsmLsVnYvPcaH/k3IkCU9jlXtsXfOT+yLWPx3XST07C0MTQywLZCN+7cfEvcqnoKl7Wg7siElXAv/rRI6IcT3TYJA/07yDibEP+POHRgxQk3oevkSunaFGTPAwAACAlS/nvBwsLD4tHVjYqBAAThyBEqUUMdu3QJnZzXaPa+0XBTihydBICF+JykxmV6VxvD80Uuy5rbm3s2H1O1WnQ3T9tBnrhe3g6PwW3GCmfsHUbBUHuYO9OWA72mWnBpJttwfyLP9E6d2X2J6rzWkszBh5MrOmFuaMqrlPO7dekTn8U2IDH3A3lUnyFfcFif3YmyesRdDYwPcWlbgxoXbhJy+iXmGdNTrVh13r0pkzPLxt4TE+CSunw9n+YhN3Lx0h7YjG9J8gOe7YMzQutMID45idfDUjwaVnka/ID42AV19XXR1ddHT1wW03Lx8l6ObznB272WSE1OwzpkR8wzpiLgaSVqqFudaJWjQ0x37cvkl+COEeEeCQP9O8g4mxNf39KkK0HTqBHFxcO8evHqlAj7r16tzGjWC2rU/fUrXkiWqubOv7/vHf/pJNXweOvRLPIEQ4r9MgkBC/I+IkCh6uoymuGthwgLvYJM3M4bpjLkdFMn0/YMZ0WwupubGzD0yjNhXb+ngNJrSVYswdGnHT75WeMg9xrZdzMtnb/hpekvKVi/KpE5LuXA4hDodK2PvlJe5fdeRlJhMk17unNlzidtXIrGxy0zFBmW4feUu5w8EAZDeygzbQjbkKpwdu2I5SWdhSnhQJMEBYdy4EE5yUgrG6YwYuKwz5WqXfHcPoedu0dfNh/ZjGtGkT62/vOc3L+I4u/cy5w9e5fKxUGJfxmGeMR22hWx4Fv2CB7cfYWRqSI3WFanXzY1seb7+iHshxH+PBIH+neQdTIivb9IkCAtTQaABA8DQEObNgypVVG+e/PnV9xwcoEePT1t77ly4ehWWLn3/+NChqjRs7Ngv9xxCiP8mCQIJ8QGbZuxhxcjNeHhVYv+aUzT6yYO9q0+S18GWhj2rM6rFfJr18cBrWH3WTfVj/fS9zPDrT6G/mJ71IS+fvmFCx6WEnL1NjRbl6DSmIeun+LFt4SHy2Gen4+hGbJm9j8vHr1OqShHK1S7OnmXHiAi+R7Y81lRvWQE9Qz3u3XxIZOh97oY+ID42AQAdHQ12DrYUcymIQ8VC2DvnxzT9+50Gj/98jkntF2FmaUqDHjWo4131vXNSklOICntIWGAEp3df5PLxUFKSU8mY1YJiLgXRaDRcOBjE62ex5HWwpUabilRp6kw6C9P/338EIcR3TYJA/07yDibE19eiBTx5oqZxVawIO3aAri7kzg1DhqhjhQur8i07u09bOyICypZVgaCsWdWxly+hWDHVK8hR/tUV4ocnQSAhPiAtLY3h9acTdOoGxVwKEhJwk2YDPVk7cRedfZoSEfqAI5vPMvvAELLny0zHcmPIZGPJDL/+6Ojo/Om6N69Ekbdojl/KqZSU5FTWT9/DptkHsLGzZvCi9jy594w5/dbx+nkszfvVIp25CSvHbiUtNQ3PjlWws8/OtnkHCL8ahWXm9Dh5FKesR3GKuRTg+cNXvH0TT86C2f5W8+WwwAh8p+zi3P4g0lmYUKNNRd6+jud2UCR3Q++TnJgCQGZbK1zqlSa3fXaC/cM4tvkMCXGJlK5ejKZ9a2FfvoCUfAkh/hYJAv07yTuYEJ/n0iU4fRqyZAFPT5Xd8zGtWsGePRAVBenSQefOajLY3bsqA+jAAVUGNnr0p99Haip06aICPh06gJkZrFwJDRrAtGmf+XBCiO+KBIGE+IiXT17TrfwIDIwMeRsbj3WOjGTIloErJ64zeVd/xrdbjFkGU+YeHsbx7YHM+GkNvaa1wKPVh0fGv4h5zYw+6wk8fp3sdtZ0GFaXsm727wVNrviHMbX7Kl6/iKPjyPq41ndk0dBNHNt6nrzFctJ+RH2O/XyOIxvPYGRqRKNeNbCxsyZgZyCBh4J5+yYBQ2MDSlQuTAnXItjkzUy2PJnJnDMjunq6H7yv37t15S4bpuzmtN8l0lmYkre4LXkdbLErlhPbgtkID45iz/JjXD93GwMjfSo1Kkv9btWxK2b7xfZdCPFjkCDQv5O8gwnxaVJSoG1b8PeHmjXh5k24fVsFcgoW/PBn2rZVQZrZs1VA6MULaN0aTp1SWUDDh4OLy6ffS1AQ1K8PGTKoBtOXLkGFCjBmDJQv//97TiHE90OCQEL8iYtHQxhaZypONUtwbn8QTfrUZP+6ADLbWtFiQG3GtF5Ay/61aTXIk8ENZxEecp+lAaOwzGT+3jox0S/oVXMab98kUN+7Mqf3BXHv9mOKlMlDjWbOlHMvhqm5MQCvnsUyo/cazh8KoVTlwvSc0pxbQZHM7b+euFdvadrbg7I1irFx2h5O77mMpbU5LQd6UqWJEzcCIzi79wpn913mSdSzd9fX1dMli60VDpUK0X1aq78MCL19E49xOiM0Gg1P7j9j+7wDHPL1583zOLLny0KtDpWp1qIC5hnSfflNF0L8ECQI9O8k72BCfJqFC2HjRhX0MTJSxxYvhhUr4Ny5D3/mp59U8Cg0VGUP6etD8+YqE6hLF2jY8NPvIyUF8uUDHx+1Fqj+QH37qmyg0qVVX6BKlT7rMYUQ3xEJAgnxF2b1WMGBNScpXrkIV0+F0WZEA1aO3UaH0Q2JuB7NqZ2BLDw5Eo1Ghy6u46jevBy9prZ4b40zB64ytsMyxqzuTJmqRUhJTmXf+gC2LT3Go8hn6BvqUbNleZr9VB2LjGZotVr8Vp5kxfgdALQd4knFOqVYMmILx7edxzpHRrzHNiJD5vSsGL2VkDO3yGSTgaZ9PKjeqgL6Bno8f/SSh3dieBD+iOiIJ0QE3+PCwau0HdGA5gM8//K5o25Es3nWHo5uPINWq6VCXUdqtnOluIx4F0J8ARIE+neSdzAhPk2lSjBokMoC+lVqKmTPrka95/lAu8gzZ6BZM7hwAczNVcPmwECoVQsiI1WJ2Kc6ckT1Ezp/HrRaNV1s+3ZInx7evlWZQCEhKmBVpcrnP68Q4r/vz97B9P7pmxHi36iTT3MuHgnh0Z0YLDObc2D1CZzcHVg7aReTdvbjwqFg5vRbz5Sd/ajdrhK7lx+nTntXchXK9m6NX7N89A3VXys9fV08vSpSu60LYZcj2e97mt2rT3Fw81madHejXkdXPNtXooybPfMGbWTxiJ85vi2Qn2a0pGZbFxYO3cT4dosp7lKQ7tNa8vzRK9ZP3sW8/uvZOGMvTXp74N7ahYxZLbEvl//dfUz0Wsi6iTspXb0YeR0+XML1IPwxy4Zt5LTfJQyNDfDsVIUGPd3JnNPq622yEEIIIcS/WGQkzJypgjW2ttCzJzg5QXLybxlAv9LRUeVYyckfXsvZGTp2hCJFoF491bj5yBFYt+7zAkAAr19DpkzqzwsWwN69sGWLKjU7dEiNondygnHjJAgkhPi4j3e3FeIHYmpuTO/57YmOeEyRsvl4eCcGY1NDDAz1WTlmG+1G1Cf49E0ObzpDy741MTE3ZtnYbe+tYfbLtK24V/HvHddoNBQsmYve01qw8PBgipfPz+rJfnSsMI4DG89glc2Sseu7MWhhOx5FPaWn20QunbjBtN396T6lBbeDo+heeTxnDwQxcn0PfLb3xTpHRhYM9KVj6WGc2Xv5vet1n96a9FZmTOu8lKSE999MUlPT+HnOPro6DefKyeu0HFyXtddn0HVqKwkACSGEEOKHdfu2CqAYGsKECerP9eurqV716sGcOZCW9tv5O3eCiYka9f4xI0bAsWOQlKQ+u2wZuLt//j26uKjMo6goFQRKSYG6dWH1avX7ggWq59Dly3+9lhDixyVBICF+UaqKPR5elTi57RyujctybPMZarSqQPDpm6Qlp1K4jB1LR25Bq9XSom9NLh4L5eKx0HefT2ehgkCvnsd+9Bo582Vh5PJOTN36E1bZLJjVfwO9a0/jZlAUrvVLs+TUSCo3KMOmOQfoUW0idkVzsOL8eGq2cWHPyhN0ch6JobEB0/cNwmd7X0zMjBnTcj4bp+95dw3zjOnoM68dd0MfsHfFsXfHtVotE1rPZ+nQjZSoXJilgT60Gd6A9FZmX2E3hRBCCCH+OyZMgG7dYPJkVf7Vs6cqqxowQB1/8QLKlYOJE6F9e/D2huXL4c+q52/cUCVkT59C3ryqeXP16qp063NYWcHYsars6+5dMDZWo+JNTKBxY1WeFh+vspiEEOJjJAgkxO94T2xOZlsrQgLCyJrbmtO7A3GoWJCV47bRaqAnsa/iWTluO7W9KmKdPQOrJ+3i175aGbOkx8LKjGvnI/7yOvZl7Zi5qy+D5rfl+ZPX9PGcwfxhm9HR1aHfnDZM2d4HgAH1ZrJ7xQm6TmzGghMjMbc0ZUjDmZzdH0RJ18LMOzGCCnVLsX7KbqLCot+t71CpEADxcYnvju1dcZyAXYG0G92I0Zt6Y5Utw5fcOiGEEEKI/6yTJ6FJk/ePVayoSrBevVKlXIMGwfPnYG+veu+UK/fx9SIjwc0NLCzAwQF69FCTvMzNYcaMz7/PXr1g82awtla9gF68UOvp68O8eeqcAQM+f30hxPdPgkBC/I6JmTGDV3TlafQLMmXPwMM7Mdjmz0pqaho7Fx2mXueq7Ft7ittXo2jZrxa3gqI4sz8IAB0dHUpWLMClkzdI+32+8EdoNBpc65ZiyfFh1GlXkb1rA/B2ncDRbRewd8rLvCNDqVzfkXXT9jCw/kyMTAyZvncQuQrZMK7tQvatPYWevh49prbE0MSA2b3Xvrvum1+ykcwzqqLzqLBoFg/2pWSVIjTpW0uaPgshhBBC/E7mzBDxPz/He/4cEhJUsEVPT5WHTZ2qpnFZW398rcuXoVQpiIlRJWEJCeDoCNevqwDNli3/v3t1dlZlaomJYGenysRMTKBPH5Wh1KrV/299IcT3TYJAQvyPgqXtaDm4LkEnQnFwKcjeFceo612VcweuYlsgK1ZZLZg3YD2u9UthY2fN2sl+pKaq4EvJigV59SyWiNAHf/t6pmbGdBnbkNl7+mNtk4GpvdYyotVCEuOT6T/Pi0EL23H3RjQ9a0wi8kY0k7f3pWTlwszus5aNM/dikckc7/FNuHb2FvvXnALUCHqA9BnNSE5KYXKHRRgaG9B/cSd0dOSvvRBCCCHE73XtqjJ97t9XX8fFqZKwJk0+vZHzoEFqipeJiQoczZgBw4er8e0ajZrs9f/l4KD6/+TOrcbG16ql+gXNmfP/X1sI8X2T/xsU4gOa9qtNzgLZeBD+CCNTQ0ICbpC/ZC5WjPqZNkPqEh58j/3rA2g1oDZ3b0RzfNsFAEpWKohGo+HsgeBPvmbeojmYvrMP3cY3IuRcOH08pxN16xGu9Usz99AQLDOZM7LVAqLvxjB6XXcqNyrLqgk7CD59E7cW5SlaPj9rJ+4kLS2NuFeq2NzE3JiAnYHcvhJJz1ltyZjV8ovukxBCCCHEf41Wq5o0Ozurxs7VqkFQEBQvrkq9SpaEHDlUwGbWrA+vkZwMDx6obJz/XfvoUejeXQVounVTZWCtW8PBgzB9uhrt/nsvX6r+Qxs3qj//XQUKwJIlcO6cyi5ycvq0fRBC/JgkCCTEB+gb6NF9Rhti7j+naLn8hJ69TXGXgrx5Ecety3dxqFCAdZN3UaJiAfIVy8nqSbtIjE/CMpM5JSoW4NCW83+rJOx/6erq4OlVkWk7epOcnEq/erMIOR9OtlyZmLytN2aWpozvsJT4uCR6z2yNVVYLlo/ZCoBbi/K8ePKau6EPMDDUByA5MYWIkCj09HUp51nyi+6REEIIIcR/0YABKnjSoYPq+XPnjgoKBQWpke4TJ6pgTcOGkJr6/me1WjVGPnt2VeJlY6NGsv/+tc/cHFq2VH2B1q5V5VpFiqhpXjEx0K/fb+du3gx58oCvrwo4WVtD4cIwerQqRxNCiC9NgkBCfETxSoVwbezE+YNXsS+fn12LD+PasAx7Vp7As70rsS/fsnHGPjqOakDMgxfsXHYcgOpNnXhy/zmXT4b96fpJickc2RZI6MU7f/heXvsczNjRh/QZ0zGs+QIC9gVhmcmcYcs68TT6BVO7r0TfUI/Wg+tw4+Id/HdfokRF1Qz6ysnrGJoaApD4NpHI6w+wyZsFPX29L7o/QgghhBD/NQ8fqqle+/erAM2IERAeDg0aqAlbv/b+8fWFpUshVy4VqPnV8uWwYgWcOKHWunAB9uxRQSNQ2UP29qpU69YtFfSZNk2Vl2XPrrKETE3VuQ8eqDK048ehcmV17rBhcO+emixWrpxq/CyEEF+SBIGE+BPePs3QN9BDR6NBo6Phyb1nmJgZ4bf8GDVaVWDXsqNYWptTxs2eTXP28+pZLM41imKZyYydK058dN2Q8xF4V5vMtH6+9Gs0lxFeS7gdcv+9c7LkzMj0Hb3JU8QGn84r2O97mkKlctN5XGMuHLnGhhn7qNasHLYFs7Fy3HYsM5tjkzczl49fx8hEBYES3iZyN/QBtoVsvuo+CSGEEEL8F1y5AqVLq8ydoCDVSBlUT50zZ9T3M2eGj8+E7gAAIABJREFUQ4dg3z4VoOnaFaKi1HkzZ8KCBVCwoPo6d26VRTRz5m+9fmJiVM+eAgVUNtHQoao/UGQk5MypMoeSk1UJV/36KtA0dqyaQDZqlApGlSsHZcrAwoX/9A4JIb53EgQS4k9kzGpJm+H1CTp5HZd6joQEhFHBsyRXTt6gYKncGBobsHj4JtoPq0dCXCKb5x7AwFCf2m1duHA0lDsfaRC9fs4BkhKTGbuyE+0H1SYsKIqenjOY2HMN0Xdj3p2XPkM6Jm7qQQmXAswftoWoW4+o1daFKo3K4DtzH9ERT/AaWo/oO084e+AqpSoX4ap/GIbGqhzsafQLXj+PxSKT+T+yX0IIIYQQ/2Y5c6opXSkp7zdoDglRU7zKlPktUwegWDFo2lT16wEVyClW7P01CxeGJ09UYAcgNlYFb86ehebNQVdXjYg3MFBj57duVb2C4uPBzExNEytcWAWDQJWTxcerptQnT361rRBC/KAkCCTEX6jbxY38JXNzxu8SNnmzcPXkdWwLZcN3ih8t+tUi8Mg1HkU+pXLDMvitOsmzRy/x9KqIcTpDNs49+ME137x8S76iOSjtWojGXaqw8sQwmvdw49yRULzdJrN50ZF35xoZG9B/dmuMTAyZO3gTAJ1GNcTQ2IDl47ZTpkYxMmax4JDvaZw8HEiMTyLs4h1s7DJz+0okVlkteRYtucRCCCGEEEWKqAydCRNUts7Chaph8/z5qsdPRMQfGzdbWqrADqhzfi0VW7kSnj5VWUNFiqggD4C7uyoby5NHBZc8PGDSJDVqvmhRVXK2ciX4+8OiRXD4sAoupaaqPkCbNqnMpIiIPx9FL4QQn0OCQEL8BV09XfosaE/cq3gyZklPdMQTHCoU4HHUUxLjErHJY83yMVtp3tud1JRUNs0+gJmFCXXaVeKU3xWibj36w5pxr+MxNTN697WpuTFt+nmw8sQwnN2KsnLyHk74XX73fQsrM9oPrUPIuXAObT6HRSYzGvdw49zBYO6EPqBqUycuHA7GJm8WTMyMOHfgKvlK5OLWlbtkypGRmAfSWVAIIYQQAlSPnydP1NSuPn1UP6DKlWHXLtWPp337386NjYUNG6BmTfV1qVJq8tfy5fDzz2BrC82aQadO0Lu3CiBZW6tA0a8TwXbsUL2Cdu9Wo+M7dFDlaE+fQpUqqmfQs2fqHkqWBC8vda0pU6Bz5398e4QQ3zkJAgnxN+Sxz0nTvrUIOnkdu2I5ObHlLGXdHdg8Zz+NetQg6uZDrpy8QY0W5di3zp9HkU+p17ESBkb6bJzzx2yguDcJmPwuCPQry0xmDJzVkiKOuZnRfwN3bkS/+16N5k4ULp2HZeN28OZFHHXau2JiZsSWuQeo3rw8aWlaTmy/QMkqRTh3IAi74rmIuf8c84zpeHLvGdrf5zwLIYQQQvygMmRQ2Tb376sGzAsXqhKv2bOhf38VjJk2TX1dpgzUqAFly6pGz2vWqM9aW0NoqBorn5CgpnlZWKgSrshI0NEBOzsVREpKgqtX1RovX6pAkKmpKknz81NNqi0t4do1ePNG9SKqUkX1Dipf/lvvlhDieyNBICH+pqb9apMhc3q0aWm8fh5H+gymoIULh65S1DkfaybtpG7Hyujq6bJs7HYsMprh6eXC8R0Xufu7YA6ops/XLtz5YGBG30CP4Qu9MDIxZMHIbe/O0dHRoceExsS+imfrkmOYmhtTs40L/n6X0dPXpahzPvasOkGFOqV4/ugV+ga6AGjTtLyMec318+Fff5OEEEIIIf4jLCwgXz6VsTNsGFSvDj4+KssnIkIFZWbMUI2gNRqVQdSypWrcvGuXGi1/6pQq72rVSgWCmjSBdeugdm0V0Fm6VAV7jh5VwaBt20BfXwWX0qVT61aqBJMnQ7VqatrY0qWqEXW7dt96h4QQ3yMJAgnxNxmZGtJiUF3Cr0ZRqmoRjmw4jUdbF077XcalriOvn8dxYH0ATXvVIGDPZa74h9GkWzVMzIxYPcXvvbXcm5blbthDwq5EffBaFlZmtO3vQciFCE7s/q0sLHdhG1w8S7Bz+XFePY+lTgdXNDoadiw7Rl3vKjyOeoaevi5W2Sw5fzAYO4ec3Lv5kHQWJmybt/+r7o8QQgghxPfA1VUFfpYsUf19NBp1PDkZjP4nkfvuXVXalSfP+8fbtlW9gqpWVT2IJk0CY2P46Sc1Lv7MGbh9WwWdEhPVRDFzc7VO6dJ/vI4QQnwpEgQS4hO4e1UiS65MxNx/hrGpIRHBUWSxtWLvyuNUa+rMziVHKOdejCw5M7Jo2GaM0xnRsEsVzh4M4frFO+/WqeRZEiMTA/ZvPPvRa9Vo6kRe++ws89lFfFziu+Mt+7iTlJDMzwuOkCmbJZXqOXLQ9zRFy+Unk40lfitOULNdJS4dC6W0mwMRwfdwrl2SgJ2BPIqM+ej1hBBCCCHEx9Wpo7J8nv+u1WJsrJrk5eb2/rmPH6tG0KCmgSUkgIsLGBqqP9vZqbKy06fVurNmqcCREEJ8bRIEEuIT6Bvo0WZ4fe6GPqCshwNXT97AycOBu6EPyJk/C3oGeiwfuw3vsY2IDHvIjiVHqdfBFctMZiwbt4O0tDQATM2MqFS7BMd3Xybm4csPXktXV4euo+vz7PFrtiw++u54znxZcK1Xit2rTvL88SsadKlKfFwie9f649mhMldO3aBAyVzoG+jx5P5z9A30SElOQ6Ojw6Zpfh+8lhBCCCHEjyAlRf36HCVLQps2qg/QyJGqt0+NGmq8+/LlaroXqCDRqFGqwfTTp6qMLG9eePQITExUo+n4eJUVlJyspoM1bgwVKny55xRCiI+RIJAQn6hyE2cKOObhwsGr5Cmag+Obz1C4bF42zdxL4x41OH8omPg38Th7OLB2qh/PH7+i3dA6hAbeYeui34I5TbpVBWCE1xKePvpwIKhwqdyUdy/KzlWniH0d/+54y74epKSksn7mfuzsc+BUoxg/zz+ES91SWFqbs3aKHzXbVeL41nOUq+PIya3ncKlfmr0rj3PtzM2vu0FCCCGEEP8yDx5A06aqD4+pKTRsqPrufCofHzUVLDlZ9QI6cACOHYPz51Wgx91dZfm4uqqJYmXLqolj/ftDlizw6pX6bFgYTJ8O3bqpnkR5837xRxZCiA+SIJAQn0hHR4des7148zyWbHmsefU0lmy5rIiPTeTR3RgKlsrNomGbaD2gFgaGeszqu44qDRypUKs4qyb7EXz2NgDZbK0Ys7wDT6Jf0K/hXO5HPPng9Zr3rM7bNwnsWnXq3bFsuTJRs2V5Dmw8w+P7z/EaWpeEuER2LjtOuxENuBEYQY4CWUlnYcrThy+wzJyeiOB7WOfIyMzuK0hKTP5H9koIIYQQ4ltLSlLNl+/fV9k8pUqpcq2KFVVp1qcqUwYmTlTTu4oVg0yZ4ORJNQq+Z0/VUHraNJg5U2UKLVsGHh5Qr5665oABKmvI1RXq1lUTymxtv/hjCyHEB0kQSIjPkNfBlrpd3fDfEUhZDweObT6LW/NyHPINwLODK/GxiWycsRfvMY0IOXubvav96T2tOVltrZjYbRXPH78CwME5H1M2dCcxMZl+jedy8+q9P1zLrrANjpUKcmDTufemiTXuXg2NRsPWhUewLZCV6s3LsWfVSYo45aVgqdysn+pHs741uXb2NtVbuXDv5kMKlLbj3s2HbJiy+x/bKyGEEEKIb2nECDW2PSRElWE9eKCCQNHRMGHC31vjQyVkjx+Dv78q8wJwcIBatSBbNvX18ePQvPlv57dqpaZ/aTS/3cu4cfD6tQoWCSHEP0GCQEJ8pjbDG5AxqwX3bz7EwEif+7eiyWRjie9UPxr3rMGJHYHo6GgoVbkwy8dt48m9Zwxf0p63bxIY772cpASVjZPXPjvTNvfAyNiAIa0WEnYl8g/XcnQtxJPoFzx/8vrdsUzZLKnasDT7N57hUdQzWg2oha6eLouGbaGLTzNexrwh8uZDchW24eCG01Rp5kzAzosUdy3Mpul+UhYmhBBCiO9eQgLMn6+mbnXqBJcvq6lcmTNDiRJqHPvvfsb2B2vWQP78YGCgSraWL1cBoW7doFAhGDhQ9QTq3FmVef2eldX7JWdWVrBzp5oEVrkyWFvD2bOqpExX9+s8vxBC/C8JAgnxmUzMjOk524t7Nx9SwrUQIQE3KVezONHhT3gU+RR7p3zMHbCe5r09MDU3YVz7pVhltaDfzJZcv3iXmf1932X2ZM9jzdRNPTC3NGVom8UEnrj+XtaPgaEeAGlp77+ltOzrgY6ODsvG7yBjFgvaD69H4NFrRFy7T5Of3DmwPoAqTZyJffmWR1HPyFkwKxHB98iYzQKftgt48UtGkhBCCCHE9+jMGcieXWUCtWunjunrq6BNeLga1/748Yc/6+sLY8bAihWqfGvdOpgyRTVxvnUL7txR073u3lXBnnHj3v+8t7f6fOQvP99LTlZNomvUUIGoe/dgzx7IkeOrPb4QQvyBBIGE+H9w8ihOudoluXDoKkUrFGD/mpPU7uDK0U1ncPEsiYGhHvMHrWfgfC+e3H+GT6dlONcoRpuBtTi+4yIb5x58t5a1jSWTfbuRPoMpI7yW0rn6FHauPEns6/h3wR9d3ff/ymbKZknTnm4E7A0iKOAmtdtVpESlgiwZtZUqjctS0DEPG2ftxWtkA0LPhZO7qC2pKamYmJnw+nksIxvPJD72M4rhhRBCCCH+A/T1wchIZdoMGQIRESoos2LFbyVeJiYf/uykSSpTqEIFVcLl5AQrV4Kfnxrp/usIeHNzmD0bFi9+//N16qhAUPHi4OwMOXNCcDCsWqX6CFlYfLXHFkKIj9Jo/yz/8StydHTUBgYGfpNrC/ElPYqMwdtxKEUrFCTsl4bMOnp63Am9j/eEpszqs5aabStSqLQdM3qvxa2ZM71ntGR673Uc3RbIgNmtqdKw9Lv1EuKTOOl3hb3rTxMWFIWhsQGJ8UkAbLgwBgsrs/eunxifROcqPhibGjF33wBePn1D18rjscltTf95bfjJbSI58mWhcGk7ts0/iIdXRfYtP4ajW1EuHrpKyar2jN3SB109yUMWQnxZGo3molardfzW9yHeJ+9g4keSmqqmdVWsqEaxp6So8q/UVChdWgViNm368GcNDeHlSzA2/u1YWpoKKL16pYI/v0pMVMEkf38VMCpd+rcSr9evIShITQfLl+/rPasQQvzqz97BJBNIiP+nLLaZaDm4LoGHrlLWozjXz4eTNVcmdPV0+XnuAep1rsre1Sd5/ewNLfrW5NDGM6wYt4Nek5tRzDkv03qvY++6gHfrGRkbUL1xGWbt6M2cXX2oXKeEOm5igImZ8R+ub2hsQOfRDbh7I5rFo7dildWCXlNbEHb5Lj/PP8xPM1tz4+IdXj57g2PVIhxcF4BL/dIEHgqmQj31+/x+a/lWAWEhhBBCiK9FV1eVYB08qEa6v36tfqWmqsbMCxZ8/LP29nDixPvHTp5UI+Y3b37/+Jgxv5WZeXurwNOpXwa7mpuDi4sEgIQQ/w6SCSTEF5CWlsaY5nM4vz+I8nVK4b/zIo1+8mDnkqMULJ2H9JnM8d99if7z23HzShS7V56gzSBPGnSpik+XlZw/co12Qzxp0t3tg+vHxyViZGKARqP56D0sG7eDrYuP0nNSU2q2Ks+aybvZMHMfHUbUJykhiTUTd9Kklzvn9wcR8+A5BUrm4tKREBzdinLhQBDeE5vTsKf719oiIcQPSDKB/p3kHUz8iN6+VWVct26p7B9nZ9UY+k9erdi+HXr1UmVeFSuq/j/e3urXrFnQtasK7hw6BFOnwowZ0Lu3+uzeveDlBWFhYGn5jzyiEEK8I5lAQnxlOjo6DFzamez5snD5+DXsy+Vnx4KDNOntTnDATQz0dXFwKcCMXqsp4VKAqo3Lsmbybvat82fEso641i3Fyom7WTlx1wczcoxNDf80AATQbmgdHF0LsXDEz1y/eIdWA2pRsU5JVozfgW0hG6q3KMfmOftxa1keAyN9HkQ8wb58fi4dvUahsnlZOnQjp/0ufa0tEkIIIYT4ZkxMoEkTGDYMuneHkiX/PAAEUL8+zJ0Lo0apaWJDhqhgz9ChEBAAz5+Dj4+a8FWr1m8BIK0WHj5UpWOFC0OPHmosvRBC/BtIJpAQX1B0xGN6VhqDRSZzUpJTSUpIplLDsuxYfISGPWsQfOYWd0LvM2pdd/avCyBgzxV6Tm1BjRblWDB8C3vXBlCrTQW6jW+Ejs6nx2jfvHxLT48ppKakMduvH6bmxgxqMIu7N6KZuKUXq312EHz6Jp3HNWH56J+xyWONjkZD5PX7ZM5pxZN7T5mydzAFHe2+wu4IIX40kgn07yTvYEJ8WePHQ2ysaiQNMGgQHDkCuXJBtmyqt9CWLXDhgmoILYQQX5tkAgnxD8mWJzMj1vbg8d0YTM2NSUlK4dSO81Ss58jWuQcoVi4fNnaZGdt6AW5NnShdtQhzB/iyd/Upevg0oVHXquxZ48/cwZtJTU375OubWZgwfGkHYl+9ZUSbRaSkpDJydWcsrMwY67UY77GNyZE/KyvHb6f9yIZE3niIoakRmXNY8fzxK8wsTRlWfzoRIVFfYXeEEEIIIb4/lSvD1q2QkKDGzS9ZAjt2wOXL0KKFyh6qVu2P08OEEOJbkCCQEF9YcdfCDFjqTcTVKGwL25CckMK102GU9yzJz3MO4ORWlOx5MzO+3SJqtq6AU41iLBi6iR1LjtJ+aB2a9qzOft/TTOq2iqTE5E++fl77HAxb3J7IsIeM77QcMwtTxm/oQWpqGj7eyxm8qCNmGdLhO3Mv7UY24NrZW2Sxy4KBkT6gwcBAjyGeU7l38+GX3xwhhBBCiP+4p09VKdivypVT08BcXWHmTLCxgYYN1fGyZdU5tWvD+fPf5HaFEOI9EgQS4iuo1LAsXae2JPjUDezL5yc5KYXrZ2/i5O7Axhl7KV+zODnzZ2VC+8VUa1qW8rVKsGTUVn6efwivQbXpNLIe/nuuMKrtYt7GJnzy9R0rF6b3tBZc8b/JjD7ryZYnE6NWdyEm+gWzB/gyam13AHatOE6LgbUJPByMffmCxL2Ox8jMmLQ0LYNrT+bR3ZgvvTVCCCGEEP9JoaGqQXTevJA7N7i5QUSE6i20dq3qNXT+PISHQ7dusGrVb32HgoMhR45vevtCCAFIEEiIr6ZuFzdaDKxDwM5AilcsREpyKrcuReBYzZ61E3fh7O5ArkI2TOywhKqNy+Ba35EV43ewee4BGnhXod+sVlw9c5uRbRaRlPDpGUHVGpWh3WBPju+8yLwhmynkmJuB870Iu3SXNZN2MXptd2JfxOHvd5m63lXx33WRCvXL8Cz6BZaZ0xP/NpHBnpN5+eT1V9gdIYQQQoj/jtevVdCnRQuIjoZx4+DOHShSBGbPViPnW7eGo0dVoOj8eTWRTKtV08PmzlXTxIQQ4luTIJAQX1GbEQ1o3LsmJ7aeI3fh7CQnpRB+5S6lq9mzbtIuHMrnJ1chG3w6LKZqExUIWjlhJzuWHqVaozIMnNuGa+cjmNnPl7S0T+8R1Lh7NZr2cGPf+tOs9NlN+Vol6D6pKecPh7Bt8RGGr+7Kwzsx3LwaSZUmZTm84TRurVy4f+sROfJl49nDl4xsMpOEuMSvsDtCCCGEEP8NmzapsfKdO0PLlqrnz+zZUKAALFumJo/9Om9n40ZVMpY9u2oM3aMHrF4N9vbf9hmEEAJA71vfgBDfM41GQ8fxTcmY1ZLFg30pUNqOx5FPuXkxgnK1S/Dz3AN4dqpMSkoq49osZIxvT5KTUlg84meMTAxxb1mex1HPWDlpN5lzZMBrsOcnX7/toNrEvo7n50VHsM5uiadXRRLeJrFszDZMzY0ZuKg9Ph2WYmpuTOnqxdiz8gTurV3Yv+oExSoU4OqpG4xrNZdRG3/CwFD/K+2UEEIIIcS/V2QkFC0KJ0/C9etw9SoYGKgpYNbWKshz4oTqC2RpqYJGL1+qDKIcOVRZWFwc7N4Nr16pRtF2MoxVCPENSCaQEP+A+t2r029RR8IuhJMllxU6ujqEnLpOxXqO7F56jJIVC2KdPSNjWs2nbsfKOFYuzJz+vhzffoHG3avh0bIcm+YdYvO8Q598bY1GQ9exDSnrZs+ikVs5c+AqDbtWo1lvdw74niY85AE9prYg8Mg10lmaUqxCAQ76nsa1iRNX/cMo5VaUwEPB+LRdQEpyylfYHSGEEEKIf7dSpWD/fjh1CurWVQGg1FQ4cEA1f65bF/z93/+MhQXkzKkCQKdPQ548qnfQuXPg5ARDh/6WPSSEEP8UCQIJ8Q9xa1mBvgs7cON8OFZZLdA31Ofi4as4uTuwbf4hytcqjqV1eka3nEeLvjWxd8rLtJ6rCT59i+4+TXCtV4qVk3Zzyu/yJ19bV0+XwfPbkq9YTiZ2W8X5I9doM8gT91bl2TTnAAnxybQeVIdjP5/DtnB28hW3JcDvMs61SnDxcAgV6jpyxu8Ss3quRCtvK0IIIYT4wXj+kozt5wcXL6qeP40bq3IvV1fVDDpz5g9/NjlZlYutWAF79qjfw8LUWPmDB/+xRxBCCECCQEL8o6q3cmHQ8s6EX43CNL0x6dKbEux/g9Ju9mycvhe3pk6YmBkxtu0CukxoTLbcmRjfcSmP7z2j74yWFCyZi5n9fLl3+/EnX9vIxJBxa7tgmz8L4zot49zhEHpMbo6LZ0mWjdlGhiwW1PWuwu7lxyhZpQiZc1px9fQtSlQuQsDuSzjVLMGhdf6sn7jjK+yMEEIIIcS/l56eyvqpUAGOH4cGDcDBAXbuhC1bVIZQkyYf/uypU6pEbNcu1Vy6Vy/1uZo1wdf3H30MIYRA861+qu/o6KgNDAz8JtcW4ls7fyCIcS3nkiGLJQlvE9Ez0CVnoexcPn4dr5EN2DL3AFbZLOm/oD3Dms7FwiodM/cM5G1sAj09pmKewZTZfv0xNjX85Gu/efmW4S0XEH7tPqNWeFO8Qn7Gtl3ExePXGbjAi/MHr3J0yzm8htZj19IjaDQabHJnItg/jCLOeQn2D6Pvwg7UaF3xK+yMEOJ7otFoLmq1WsdvfR/iffIOJsT/T2AgtG2revxoNGBiosbBly79/nkvXqhsoePHVelYjhwqiLRtmyoDy5BBrXHuHBQq9C2eRAjxvfqzd7C/lQmk0WjcNRpNmEajua3RaAZ/5JwmGo0mVKPRXNNoNBLTFuJPlKnhwMRdA3n9/A2GRnq8fZ1ATORT7J3zsWbCDhp2q8aD8McsH/Uzgxe1J/pODD7ey8hgbc7gBV48CH/CrP6+n1WaZWZhgs+G7uQqmI0JnVcQHnKfYcu9KVLWjmk9V1OxfmnKVi/G6ok7qd/NjYS4RJ4+ekXBMnaEngvHrlhOZvdcReDh4K+wM0IIIYQQ39bbtzBrFlSvDvXrw/bt7/fucXSEkBDYu1eVd4WE/DEAlJIC+fOr72XODIaGat2NG1XQp1kziImB2FjVcHrUKPUZIYT42v4yCKTRaHSB+YAHUBhortFoCv/POfmAIUB5rVZbBOj9Fe5ViO+Kfbn8jPu5Ly+evCaTjQWP7z0l4U08dsVysmnmPlr0q8WVUzc4tSOQHpObc+n4dZaP207x8vlpO6g2J3dfZveqU591bVNzY8au6YKltRkjWi/kwZ0njF7TlVyFbJjUeTkNe1SnSNm8rPbZSctBnjx79JKEhGTyFM3J/VuPyWxrxdjmcwj2v/GFd0UIIYQQ4p8XGgqDB4O3N5QsCYcPQ8+equxrxAgYNuz98zUaKFxY/dJo3v/e1auq8fPTp1C8uJoStmYNvHmjzm3dGtavB11dSEiA3LlVMGngwH/ueYUQP66/kwlUBrit1WojtFptErARqPs/53QC5mu12hcAWq32yZe9TSG+T/bl8jN4RReibjwkd5HsRITcw0Bfh3TpTdi/5hR1vauyb+0pEmITqNPBle2Lj3J481kada1KmapFWDp2O8Fnb3/WtTNYmzNpYw+MTAwZ2nw+Tx+9ZJxvdzJktmB8h6V0HNuInAWysnrSLryG1yfqxkMMjA2wymbJ6+dxWGZOz4hGM7lxIfwL74oQQgghxD9n3TrV3FlHR2XrREerzB93dxWwOXECFi2Ce/f+eq0LF6BqVbWOnR3UqQPx8ZCUBJUrQ8aMcPOmOl6ggJoylj07DBgAK1eq8fFCCPE1/Z0gkA3w+3/y7v9y7PfyA/k1Gk2ARqM5q9Fo3D+0kEaj8dZoNIEajSYwJibm8+5YiO9M+TqOdJvWirDACOzL5efamVvkyJeZlzGvCQ+6i7OHA0tGbKaES34cyudnzgBfbgVFMWBOa7LkzMj4TsuJvvt5f58y58jIpE090NXTZUiz+bx9k8CETT3R09PFp9My+szxIkPm9Kyfvoe2w+oRej6cLHaZ0TfQJSkxhXQWJgyrP43bQZFfeFeEEEKAlOQL8bXFxqpGzceOgY+PCspMmgSvX6vSLVCBmypVICDgr9cbPVqt4+4Ojx9Dly7g4QE9ekCtWmpdQ0O4dQs6d4bbtyEoSJ2TJQvcv/9VH1cIIb7YdDA9IB/gCjQHlmo0Gov/PUmr1S7RarWOWq3WMVOmTF/o0kL899XpXI2m/WsTdCKUklWKcOVYKGXcihJy+hZm6U3JVTg7U7quoM0gTywzmTOu/RKSk1IYs6ozWq2W0e2WkPA28bOubZPHmokbupOaksqQZvPRaDSM29CduNfxTOuxmqHLvDE0MmD7kiO0GOjJpWOhFHYuQFJCMmg0GBgbMMRzClFh0V94V4QQ4scmJflCfH3+/lCsGBQpor7OlEkFYjp2VOPgf3XjBixfrsq/3N1h374Pr3funMryGTwYEhPVuQsWqOBP//7q2OvXqv/PmzcqA+nXoNPjx2Br+9UfWQjxg/s7QaAHQI7ffZ39l2O/dx/YpdVqk7Va7R3gJiooJIT4m9pqjm+pAAAgAElEQVSNaoRbywpcPBxMgVK58d9xgXK1S3BwvT/OHsXQN9BjVp81DJzfjjcv4pj0f+zdZVRVadvA8f+hUxQxMVAUCwPF7u4uLMQAE7sRxe5GRQws7O4WC0RREQtRAbFR7ETgvB/uGZRhZt55ZhzHuH5rzYKz49773J+Yyyu6LSVTdktGLOrM3ZuxLBq95W8/O2e+LExc24t3bz4wst0CrLKmY/SK7jyMecK8wWvxXNGdhI+JHN1yhiY9ahK4+wLlGpbgzYt3mFmYotFoGNlsBk8fPf+COyKEED89KckX4l9mYqICML/q1AmWLIFLl9S5pCTVEyg8XGUDrV8Pzs4qw2flytTrZc2qrs2YUfX5OXsWbGxUeZm+vlpr8GCIilIj55cvV0GoZs1UDyIzs6/1zYUQP6u/EgQ6C+TVaDS5NBqNAeAE7PjNNdtQWUBoNBorVHlY5Bd8TyF+eBqNhn7enShZqwg3LkSRLW9mLhy+RLHKBVg7dRdNulXn7o2HbF10EPcpbQgLvIHfhO0UK29Hq1412Lc2iBO7Lvzt59sWyobXcjdi7z9jTCdf8jnY4LHElahr91g6bhsj/brx9NELLgVFULNteQ6uDaRSs1Lcj4wlk00Gnj9+iUeTGbx8+voL7ooQQvzUvlhJvhDi95Uvr0a5b9qkPufPD1OmqOlgJ06ovj7z58PAgTB8uJrk1batGvPu4ZF6ope7O/TtC9HRULOmCgiVKaNKv16/hrFjYepU1WfIwEAFf5yd1c/Ro7/61xdC/IT+3yCQVqtNAHoD+4FrwAatVntFo9GM1Wg0jX65bD8Qp9ForgJHgcFarTbu33ppIX5Uevp6DF3anYzZ0/Pq2Wv0DfV5FBVLzgLWbJy9j+Y9a3Fyx3meP35JA5dKbF54iCObz9B+YD3siuZg7tB1PL7/7E+fodVquXAyggWjNvP4QcrMnUIlczNkrjPh528zpfdKSlQtyGBvF64E32Kr71GGL3Yl+to9Yu89pXLTkuz3P0XV1mW5cSGafCVyExN+D48m03nz4u2/uU1CCCE++Usl+dKXUYjfp6urAkD9+kHlytC6tQr4jBypGkbv3Kl6AnXunPK+EiUgMREePkx5vGtXtYajoxoRnz8/lC0L3t4prytdWmUVNW4MDx7ApEnqnuPH/93vK4QQf6knkFar3aPVau20Wq2tVqud8MuxUVqtdscvv2u1Wu0ArVZbUKvVFtZqtev+zZcW4kdmns4UzzV9ePvyHZaZLHh8Nw4TU0P09HU4vS+UsvWKsWzsZkrWLEThsnmZM9Cf6Gv3GOrdkcSEJCb3WsHH+IQ/XP/wlhBGdPBh56pTjOy4iKexL1Ocr1C/GN28mhG0P4y5Q9ZRoaEDPSe2IvjAJU7uCqX/7I5cPHmdjwmJlKlTlEPrgqjauiyXTkVQokYRboXdxrPFLOLfx//bWyWEED+6L1aSL30ZhfhjJUpAZKTq2dOwoRrx7uWlMnjs7dX0rqtXU94TG6smgKVLl/K4RqMyhmJiYMcOuH0bZs4EPb3Uz23VCkxN1dSxZ89U4KlFC9Us+s9oter6jx//0dcWQvykvlRjaCHEF2RbOAcDfVyJunyHPEVzciUoggKOubl34yEarZYc+bMytdtSuoxsQhpLU8Z3WYx5WhP6THXi6tlI5o/YgFar/d21DQz1AegyrAGx954xsOU8Ht5JmbjXuEtl2vStzYH1p5k7ZB31Olakw5AGHN4YzM3Ld3Ab15LAPaGYWZpRuLwdJ7afo0JjR87sv0jpug5cCYpgaldfkpKS/vW9EkKIH5iU5AvxlRgYqABQ+/Yq6PO5Pn1UH58rV9TnJ0/A1VWVcZma/v56JiYqCyhNmt8/f+mSKhXz9oa0adV4+mbNoEsXWLToj99zwwaVYZQzp5om9nslaUII8WckCCTEN6pKi9J0HNWca2duUrB0HoL3hlKhUQkCd12gZHV7NBoNM/osZ9DcjsQ9esHUnn5UauiAU59a7F93mq2Lj/7uurkLZAXAwsqcSat78PrFWwa18ibm5qMU13UYVC95LR/PzTj1q0MTt2psXxLAuzfxtB1Yn0Prg8hVKDvZ8mYm5OhVyjUqQdDuC5SsVZQT286yeIQkBQohxN8lJflCfBuaNlVZQtWrqybPefJA9uwwbdrfXzM6WvUX+m2GULFi6tzvOXgQBgyAZcvgxQs4d05NIxsx4u+/hxDi5yNBICG+YW0GN6RmuwpcCYogR74sBO06R/GqBdk8dx8t3Wtz98ZDdiw5QvdxLQg5ehX/6XvoMKgeFeoXY8m47QQfupxqzSw2Vhga6RN97T75HXIydW0vkhKSGNzamwsnI5IziDQaDc6D69OsWzV2rjjBxgWHcPVqRs3WZVg9fTfm6c1p2KUKO5YepVSdolikN+fy6ZuUrluMkEOXKFw+H1u897PFe9/X3jYhhPhhSEm+EN+G7t1Vidfhw6p8y9sbDA3//npFi8LFoLe8epkyc/vAAXBw+P17Zs5U4+QrVlRlZzY2sGoVLF6sStOEEOKvkCCQEN8wjUZD33mdKFIhP/cjH2FibszdiAdktc3Ehll7aOFem1O7LvAy7hU1W5dhzcw9nDl4mYGz25OncDamuq/kwe0nKdbU1dXB1j4bQYcuE/8hgVwFsjJtQ2+MjAwY0cGHNfMOpHh+F49GVG3qyPLJu9iz6hR9Z7SjfP1i+I7aRD7H3FRtUZoNc/ZR27kCevq63Ay7g2OtwlwOuoFd8VwsGraWfSuOfe2tE0IIIYT4ogwM1LQwc/P//9oHD1SfoT+ozieHwUNO6VZku/0ITp6EiAiV0XPggBpT/3siI1X/os9lyaLeR/q9CyH+KgkCCfGN0zfQY8SKnpinM0PfQJdnj55jYmqIRkdD4M5zVGxUgpWTdlCmdmHyFsnB1F7LeRQTh8eizujoaJjUc3mqRtFte9fkwe04pvZbTcLHRKxzZWDBvsFUqFsU/9kHCA28kXytjo4OA2a2o0wte+Z7bOTw5rMMmd+JIuXyMrv/aio3K0nJGvasmryT5u51+PAunvtRTyhUzo7Iy3fIW9yG2b39OLI+8GtvnRBCCCHEV3X7tiobs7dXGTv29mrUfCqXL5Pj2UXa35nM8dbzqVABFi5UDZ8LFlTlZ/G/mbFRrJgqCftceDh8+KCCQUII8VdIEEiI70C6TBaMWN6DuPvPsC2cg4hzkeRzsOF+5GPi38eTq6A1M91X4DamOUbGBozp6IOJmRH9prflxsUYlk1M2Ue0ROX8uHk25tS+MKYN8CcxIRFTcyMGTHMiW+4MTO23mmePXyVfr6evy/AFnSheOT+zB60lcF8Yo1Z0x6aANZO7LaNlnzoUKJUbv3FbaDukIXEPnvPuTTw58mXlzvWH2BbJwTS3xZzYdvZrb50QQgghxD925YpqBF2oEDRokDoYA2pkfL16ULOmygS6e1eNfm/aFPbtg2vXPssMqlEDzZIlAAx/4E6Dj1vZuBFevfrUNLpfv5TrDxsG48apxtH37sH+/WptDw+VpSSEEH+FBIGE+E4UrpAfl9EtuHbmJiWqFyLkQBilatoTvPciDpULoNHR4D3EnyHzXXh8/xkT3ZZQpqY9jTpVYtuSAI5sSRmAadq5Ml2GNeD4rlBmDV0PgLGpIcO9nXnz8h1T+q3m3ZsPydcbGOnjuaQr9qVtmdZ3FaEnIxi3pheWmSwY32UxrmNbkjN/VlZM2kb74Y25HX4fYwtTrLKm437UY3IWyMokl4UE7wv9qvsmhBBCCPFPhIVB1aqqkfO6ddC6NXTurH7/3NGjYGysgjUGBqpvT1KSCuzUr68yfIyNYcqUX25wcYFx49Botfi+aUsN41NoNGo62cqVsGYNPH36aX0HB9i7F3bvBkdH8PRUY+X79PlaOyGE+BFIEEiI70jL/vUoU68Y5w5foWAZNTGsaMV8bPE+QGPXasRcf8A238P0nuJE6InrLBu/ja6eTShSNg+zB68l/Hx0ivVadKtGm941ObwlhAsnIwDIlT8r7hNaEhZ0kz6NZhF59V7y9UbGBngtd8OuaA6m9F7B/egnTFjvjp6eLhO6LKbvzA5YZbVk/ey9OI9ozNXgm2TNk5k06c14+vAl2ewyM6HDfMLP3vqa2yaEEEII8beNG6eybQYPVoGgDh1g/XrVwycp6dN19+5BgQKfPl+9qq41M4MmTeDjRzUCfvRoWL78l4s8PNhs5Ybex/dqRv21awBYWkLWrHD/fsp3cXSEHTtUptGZM9Cu3b/61YUQPyAJAgnxHdHR0WHo0u7kts9GZNhtMuWwIupSDDYFrdk8bx/Ne9Xi9L6LPIp+TMPOldnic5hTuy/g4duF9JksGNt1CU8ePE+xplPvmmS0Toff1F3Jk8FqNC/J5DU9ePv6Pf2azuHEnovJ15uYGeG13I2MWdMxppMviYlJTNjgzof3H5nUfRlDfLpgaGzAjqUBtBvSkLOHLmNbNCdo4N3rD1hkSINn85lEX7n7VfdOCCGEEOLvOHMGGjVKeaxsWTWm/cln8zdKlYJDh9R/Li4qppOUBLlyqd/19NRUscyZYcyYX27SaNjXYD4R+RuqhkB16sD9+9y+DQ8fqnt/pdXCnj3g5KQyk1xd4fz5f/vbCyF+NBIEEuI7Y2JuzNhN/TFNY8L7N++Jf/8RXR0wNjXi2OYzVGlWkjUzdlOolC2FStsye8Bqntx/hpefG+/ffGBs1yV8ePep06CBoR4d+tfhxqW7nNwblny8SJk8zN8ziLyFszF9gD83PwvaWFiaMXZVd3R0dfDssJB0GdIwbk0vnj9+xdxBa/Dw68aHd/EEbAuhZb86BO4OpUilArx8+hpjU0P09HUZ2mAKMeG/+ectIYQQQohvjLW1yur53IMHKsCTJs2nYwUKQO7cqvTLyEhlAL19q/oJ1aunrtFoVF+hO3c+3dfZTY9yt9dx0ag0xMTwpFQ92tZ/waBBYGqqrrl7V42Vb9IETp+Gc+dU36C6dWHr1n/3+wshfiwSBBLiO2SV1RKv9X15/fwtmXNacTP0NgVL5eb545fExsSRr7gNs/quoP3g+phZmDCu0yLSWpkzxNuZm2F3mD14bXLWD0DVJiXIaZeZFdP2EP/hY/LxtOnN8PTpRBpLM8a6LeN+9Kf5o1ltMjBmeTeePXrJqI6LyJ4nMyOXuRIT8QC/CdsZscyNx/eeEnriOk261+DkjvOUruvAvVuxZLLJiEYDQ+tP5kFU7FfdOyGEEEKI/0WfPjBwIFy/rj4/fqyycDp3VsGeX71+rYJFw4er5s5Pn6reQMWKwerV6pq4ODh+XPUH+nWtDh2gXA0Thtnv4obGDqt7F1n6rCnDB3zqzejiAiYm0KsXREdDTIwKMLm6woABqim1EEL8FRIEEuI7ldchF71ndiDq8h3sittwclsIlRo7cjX4JjnyZsbU3JhZfVbQb2Z74h69YELXxZSoXIAOg+sRsO0cO/yOJ6+lq6uD28jG3It+zPQBa0hM+PSXRForc0Yv7syHdx8Z0GIe1y/GJJ/L55CT4T6diLxyl1HOPhRwzM1gbxeuBN9i++IAhi3qyq1Ld4i8epc6zhU5vi2Eyi1KE372FtnzWxMf/xGPptN5/vjlV907IYQQQoi/yslJBV8qVlSZPnnzgq2tmvz1uXPnVDaQlxecOqUydbJmhQsXwMcHliyBEiVUNtCv5WAzZ6ppYjt2wN6zVuS9tY+P6TOT//5RtB2cISmJu3chNFQFmdq3V/elTasaQwcFqYykqKivuiVCiO+YBIGE+I7V6ViZhq7VuR4SSV4HG46sO0W5+g4cXBNI7XbleRb7knUz9+A+tQ2Xgm6wYMR6WvWqQZla9iweu5WwwBvJaxWvmA9Xj0ac2HORGYPWkpj4qdNhnkLZmLHRHSNjA4a2WcCZI59yokvXsGfYfBfCL9xmTCdfytQuQu8pTpw5dJkTu0MZMKcjYaciePbkFeXqO3BkYzC1O1bi0snr2BaxIfZOHKNazuL9Z5PIhBBCCCG+Je7uqoTrwAH1c+7c1GPZLS0/lYmBytQZMwZy5oTISOjRA/T1YdUqNdod4MiR3zR3zpUL/UN7ea1jjs6mDdC/P69faUmTBjJkUGVhv7KygufP4eVLFRT6K44cUdlDLi6qjOzzxtZCiJ+DBIGE+M51m9IW+3J2RF+5g3XezJw7FEZ+x1xsnLOXNgPqcfn0DS4H3qCVey32rT7FzmXHGDS7A9a5MzK26xJuX3+QvFazrlXoNKQ+R7efZ86w9SR99pdBNtuMzNzSh2y5MzDGbRlHtoYkn6tQvxgDZ7UjLOgm0/utok778nTyaEzAlrNEXIyhx6TWBO8Pw9DUEPuyeTm07jR1XCoTdiKcAqXyEnE+iokuC0j4mPBV904IIYQQ4q8yNIQ8ecDc/PfP29urQM2YMaoRdLZs6veoKMiYUTVxvnEDGjf+dE/69CkDOwAfChSjg9k2tPr6MHcudtumAlCunMr+efhQXbd4MejqQrVqYGEBEyeCnR1kyqRKzCIjU67r6QlubqonUZkyMHYsdOyoGk4LIX4eEgQS4junb6CH52p30qQ35/WzNxiZGvLs4XMs0puze2kATdyqs9//JGktzShbtyiLR28m/FwU41Z1x9BYn1HOPjyPe5W8Xqse1WnfvzYHN51l/YLDKZ5lmSENU9f1onCp3Mwcso5LwZ9GvVdrVpIuIxtzYlcoC0ZuokWvmjTvUYOdfsd49fwdHYY14ujmM+QsaE0u+2wc3nBaZQSduo59uXwE7w1lmqtvigwkIYQQQojvhUajyrsmToTdu1Up2N27YGysMomaNUudeePqqgJF9+6pzwkJKljzoXw1NKtWAaAzYhjbmq5g8WIV7LG1VVlAa9ao5tOLF6vgTkAArF0LISEqGFSpEsT+0nrx5k1VkhYcDP36QffuEBiorg0I+GpbJIT4BkgQSIgfQNqMaRi7sR/vXr/HxMyIuPvPsMpiwesXb7kceJ3StYuw2GsTNZ1KkzN/ViZ1W0r8u494+bnx7MkrJvdckaIPUFv3WlSsV5R13gd5EBOX4lkmZkaM9OlElhxWjO+5nEd3nyafa96tGi26V2f3ypP4TdxJZ88m1HQqi/+MPVhYmdO0W3V2Lz+OYw17suTKyInt56jRrjyXAyMoUaMwAZuCmePulyIDSQghhBDie7FwIRQurBpJL1miGj9PngxHj6rGzoGBKa9v2hScnVUWUcWKYGOjAjPLlwOtW8OcOQAUmdOF8+N2U7asmjTWtq0K6Bw5okrCdu2CbdtUFtCOHZAunVpv8WL1nIMH1Zj79Ok/PdvYWK2zd+/X2BkhxLdCgkBC/CBsi+TEY1UvHkTGkrtwDsLP3KJ4lYJEXroDiUlkz5uZGb2W031cC3T1dPHquJDMOazoM8WJi6ciWDZxR/JaGo0GN8/G6OrpsmD05hSTxADM0hgzenFnkhKS8Oq6lLev3yff19mjEfWdK7DJ5zDr5h6g7/S2lK5VmAXDN5C/lC3VWpZm3ay9VGlRGjMLE0IOX6Fcg+KcP3IFx5qF2b/yOAsH+6d6phBCCCHEt27vXlUGVqQIVK+uRsh36qSCQJaW8OpV6nuGD1elW2PHqmDNkSOqfAxQo8mGD4fERLL1b8nUZqfZuFH1JCpeXF1y6RKULq2ygIoUUUGkCxdg507YskVdY24OT56kfvaTJynH3AshfnwSBBLiB1KyZhGcPZtxPeQWhcrmJXBHCFVblCZ4fxj2pfOg0WjwHryGQd4deRQTx4QuvlRuVJxGnSqxxfcoRz/r82OVOS0d+tchJCCcQ1tCUj0rW+6MDPd2JubmIzVR7JcyLo1GQ8/xLajeohSrpu9hh99xhvl0oUDJ3Ex3X0n11mUpU6coKydtp37XamiTtNy8fAfHmoU5d/gKDtUKsWPRIZaO2iCBICGEEEJ8V0xNoVQp8PP7NLb95UvVEDo0FMqX//370qWDqlXVdLFUJkxQ8+jfvYP69eHatRSn8+RRgZ/Bg+HMGfXspUuhTRt16a1bqg9RYCAc/qzSPywM/P1VNpAQ4uchQSAhfjBOgxpQpl4xrgTdwKagNcc2n6Z0nSLsXhZAfZdK3L31iB2+h+kzrS0XT0WwYMR6uno2wb60LXMGryXisxHwjTpWwL5kbmYPXc/pQ1dSPat4xXy4jWxM0MHLjHFdyptXKiNIR0eH/tPbUL5eUXzHbOX0wUt4rexBttwZmdBlMS3da1OsUn5WTNxG64H1efXsDU8evKB4tUJcPBZOier2bJy1h01zJT9ZCCGEEN+PDh1UQEajUUEdX19VvgUwffrfzLrRaGDRItVt+ulTqFVLjSj7RaFCKsvIykr1DEpIgNWrVXlYixawebPKBNq4UU0iq1hRjaWvUgXmz1dj74UQPw8JAgnxg9HR0WHo0u7kts/Gg6hYLDOl5cqp69g52LDF+wAte9fi7KHL3AiNpnXf2uxbfYo9K0/gsagzFlbmjO64iAe3Vb6wrp4uY5Z1JU8hayb1XsHlM5GpntfYpSLuE1pw/sR1RrRfSPyHj8n3DpnrjH1pW2b0X010+H3Gr+uNhZU5Y1wW0WlkM2wLZ2f5hG04ezTl3q1HvHr5HjvH3ISdiqBIxfws8VjPvhXHvur+CSGEEEL8XZ6eKmZz/TrEx6veQI8eqTKxLl3+wcJ6erBunUolunsXateGuE99Gzt0UJfkzq0CPj4+qk+QpeWnjKQqVeD2bfDwUFVmMTGq7ZAQ4uciQSAhfkAm5saM2zwA83SmvH/7Aa0W3r54i4WVOYfWBlKvYyV2LDmqJobVKYLvqE3cunyH8at7kJiQiGf7hckTw0zMjBjr50pGa0tGd11C5NV7qZ5Xr205hns7ExF2B58xW5OPGxjpM2pJVzJnT8/YLkt4+/oDEzf0QU9fl/Fdfek7qwMZrC3xn7aLruNacCssBh09XTLbZOBWWAwFy+Rldm8/Dvqf/Gp7J4QQQgjxdxkbw9atsGePCrQcOaKCLZUrf4HFTUxUo59ChVSdV4MG8OYNAK1aqSbUYWFqhHybNur58+ervj9v36olDA2hTh2VVGRm9gXeSQjx3ZEgkBA/qPRZ0jF+80AS4hMwMTfi/q2HZMudkTcv33EzNJpSNQvj67mB6i1/mRjmthS0WryWu/H4/nO8Ovry/l08ABaWZkxY2U1NBuvom2Ii2K/K1y5Cqx7V2Lv2NHvXBiUfN09nyrhVPdDT18Wzw0IMjfSZsK43715/YEoPP4b6dsXQ2IANcw/gNqE14WcjSZc5LcZmRjy8/YSCZfIwo/sSjqwPTPVMIYQQQohvUZEiqtdOyZIqM+iLSZcO9u+HnDnh9Glo3hzi47G1hREjoEwZ1ZNoyhSIiAAXF4iKUoGfhIQv+B5CiO+WBIGE+IHZFMrGKH93ntx7Sna7LFw4eoXilQtw48JtdDSQs4A1M3r70XV0U/QN9BjVfgHWuTIydH5HIi7GMGfw2uTmzBmt0zFhZTfiP3xkcp9VJHxMTPU85wF1KVEpH/M8NrHb/1PQJnOO9IxZ0Y0Xca8Z3mY+lpnT4rWqB7F3n+I9eC0jl3fjw/t4diw5iuuEVlw6FUHuojmJf/+RJ/efk7+ULdO7LSHk0KWvtndCCCGEEF9TYiJ8/PgXLrS2hgMHIEMGFRBycYGkJPr3B29viI1VE8lOnlQj4tesgQcPwMlJNY3+JXlICPGTkiCQED+4YlUK4jqhNdFX75KvRC4Cd56jQsPinN57kUKOuTE0NmDugNUMmNOBp49eMNbFhxKV8+M8pD4B286xaeGnMRI58mTCfWJLwi/cxnf89lTTu3T1dPFc1ImSVQvgPXITm3yPJp+zK5qDMcu78fB2HB5tF5CroDUei7ty68pdVkzexaiVPYl79JxD64NoP6whZw9exrFmEV49f8PLuNdY58nMuHbziDgf9dX2TgghhBDi3/biBbi6qqbOpqYqa+dK6nkcKdnZqUZDZmZqNny/fqDVJpeCjRmjqsaePFGZQUlJqkxsyxawt1fZQUKIn5MEgYT4CTTtVZsqLctwPSSSfCVycXL7WRxr2LNrWQD1O1bi6aMXrJ25m34z23P1bCQz+qykZc/qVGxQDL9JOwk+dDl5rcoNHGjWpTI7V55k9rD1JCakzAgyNDJg5EIXKtUvxtJJO/Gfuz/5XJFyeRm5uAvR4feZ4LYMh8oFGDinAxdPXmf7kqOM9OtOzPUHnD8WTkPXqhzbepZKzUrx9NELtFot5ulMGdlsBndvPPxqeyeEEEII8W+4eFE1cK5YUQVpIiPVOPlGjaBGDZXR86dKlIDt28HAAObNg3HjyJJFtQsKC4P796F7dzWe3tgYihZV4+RjY9XP5s3h5s2v8lWFEN8QCQIJ8RPQaDT09+6MTUFr7tx4QHa7LFw6cY28xXKyftYenPrV5WrwLc4eDKPLqKac2Hme5RN3MGBmO2ztrZnU3Y9r5z79k1FXj0a07VOLAxvOMGvI+lQZQfoGegyZ056aLUqyetZ+jmwNST5XslpB+k5tw4UT15k5wJ8qzUrSfXxLAvdc5MTOCwzx6UJ4SCQPbj+hulMZ9q8+RTWncsTeicPE3AStVsvQ+pN5GP34q+2fEEIIIcSXkpAA7durvs5798KNGxAQAK9egZER9Oypzi1d+hcWq1ZN1Xvp6MDo0WTZ7M3x42p4mK2tGg+fLh1ER8OyZap67OxZNUmsRAk1MeyzIWNCiJ+ABIGE+EkYmRoyam0f9PR0efvqHaZpTHj28BnpM6dl28JDNOlWnSMbg3n74i31O1Zk0/yDBGwNYdyqHlhmssCrky/3fwm8aDQaOvSvQ/t+tTm8NYQDG4JTPU9XV4c+E1tRuLQtc0dsTDFVrGar0rgMa0DAtnMs9NxEoy5VaDugHgfXBRF55R7uM9oTcvgKiYlaKjYpwZ7lx6nftRr3bj0iS65MvH/3gcLs30QAACAASURBVKENpvDkfuoG1UIIIYQQ37JFi9SU9xs31FSvJk3A3V318flV6dLq/F/SvLlaFCi/zp0z/daQKRN8+KCaUgcFqSlhGTLA8+eqFEyjgcGDVcbRsmVf/jsKIb5dEgQS4ieSNXcmxm7qz8u4VxibGvIy7jVp0pmABoL3hlK5aUnWzNhNfgcbilcpgPfQtUSH32fsqu5ok7SMcl7Ey2efugm2ca+JQ3k7Fnpt5XZE6hItPX1dhs9zxiytCeO6+/Hq+ad7W/WqSYvu1dm14iQrpu6m/eD61O1QgfVz9/Ph/UdcRjYlYMtZ0qRPg0OVAmz3PUKjbjWIOB9FbvscvHjykuENp/H88cuvsndCCCGEEF/CmjVqkpeRkerPc+oUdOumyrju3lXXHD2qzv1lXbviX2QKACXmdsSr1B7atIF27VTm0bNnkCMHvH8PjRur8rNRo6BsWfVcIcTPQ4JAQvxk8jvaMnJVb+7fekjOfFmJOBdF4bJ5iHvwnIdRsdiXycOcAato6lYN69yZmNDFF21iEqP93Ii995SxXRYT/16NrtDR0WHQrLYYmxoyyX0lH97Hp3peugzmeCzoyJOHL5ja35+kpCRAZRN19mhEnbblWD/vAJsWHqbXZCfK1SvKIs9NZMphRfNetdi9/Bi5C+ckT9Ec7F5+jCa9anHpVAR5HXLxIDoWjybTefPi7VfdQyGEEEKIvys+HkxM1O9Fi4KDgyoP09FRQaCxY9Vkr88zg/4K37RDuNl8CCQkUH95CwrEncTbW/UEmjQJAn8Z3GppqQJP58+rVkL583/Z7yeE+LZJEEiIn1Cp2kVxndSGiAtR5CuRi1Pbz1G1RSkizkdjZmFChmyWTO2+hB4TWqKrp8uodvPJamPFwFntuXImklkD1yT3AbLMkIZBM9txO+Ihs4embhQNUMDBhu6jmxISEM6c4RuSr9FoNPSe1IpKjYqzbOIOAraGMHRBZ+zL5GFGnxUUq5Sfus4V2bzgACVrFSFj9vQcXBNIc/c6XDoVgX35fERducOolrP48C51AEoIIYQQ4lvTsKEa5f5rS8V169TPp0+hbl2IiIDjx1Uvn7/q/XvVU6jQjsmsNe2K/sd39N7fgLCVoRgYQM6ckD69umbjRhX4KVcOrl5VJWn/nwMHVPuhLFmgalXVW0gI8X2SIJAQP6mmPWtRp2Mlws/ewrZoDg6sPEHVlqU4vScUx6oF0Wg0zBmwisHeLjx7/IrR7RdQunohOg1rSMD2c6yctjt5rRKV8tFpaH0Cdlxgcp/VfIxPSPW8em3LJjeTntxnNYmJKiNIV1eHQbPbU6yCHbMHryX8fDSjV3QnZ76sTOi6hOqty1KpsSP+03ZRz6UyxmZGHNpwmkbdaxAacI2StYtxJegG49t7E//h41fbPyGEEEKIv6N/f9WouUoVmDED+vSBEyfg2DFVtrV6tQraJCXBwYMqW+fQIfX5j/TtC1mzQsZMGk67+BDl2IK0vCBfn1pUyBjB9esqUFS5sioHS58eLlwAa2tVLvZndu8GFxc1aSwkRDWu7tABWrZUv2/dComp/w1QCPGNkiCQED8pjUaD++yOFKtSkKhLMWTPl4Xjm4MpWbMwO3yP0KhrNeIePGfV5O0MmNOBW5fuMKn7Upp1q0qdNmVZN/cAW3yPJK/Xqnt13EY25uTei4x1W8b732Tm/NpMusvwhpzce5ENCw8nn9M30MNjUWey2FgxznUJzx6/Yvy63qTPbMGYjj606leHYpXys2TMZtoMboBGA6d2XaBa67IE7w2lYtOSnNl/kQkdvH83ACWEEEII8a0wN1eZPj16wJ07kDevGulertyna54+Vf16hgyB8HAYNAjKl1dBot968QLWr4eVK+HMGTAw1qXVh9UcN6pFRh6z5nENqtrGMHiwCiY9f66aRk+bpgJD2bL9+ft6eYGvr8oYsrZW5Wzx8SpwZWcHEyZA06b/fzBJCPFtkCCQED8xPX09PFf3xto2M0/uxpE+czqun7mBnYMN62bsov3gBlw/H03ApmDcxrXgzMHL+IzcSK9JrahQvxiLx25j/9qg5PWadqlM30mtOHf8Op4uvrx9/T7VM5u7VqFK4+KsnrWPsNM3k4+bWZgwbmV39PT1GOXsg0ajYcI6d/QN9PBy9qH7RCds7bPj67mBrmNb8uFdPFfORlKyVhFObAuhZrsKnN4TygTn+SR8lL9ChBBCCPHtMjAAJyeYPVsFejJnTnl+6FA1wv38eTXZ68IF1T9o+PDUa8XGqj4/lpZqHY0GIu8ZMqX0FoI05TB7egf/2JqsnRPLwoWq79ChQypwM2yYalD94cMfZxqFhkLNmur316/VJLOAAHj8WGUgBQWpoNWvZW1CiG+bBIGE+MmZpTVl3OYB6Bno8fHDRxISknjz/A2WmSzY7H0ApwF1CdwTyoPIWFr0rMHuFSfY6nOYwXM7UKJyfuYOW0/I0avJ69VxKsPQue25ei6a6QPWJDeC/pVGo8F9fAuy5LBiXDc/bl6+m3wuU/b0ePm58Sz2JSPbL8Q8nSkT1vXm/ZsPTOi6mMELOmGV1ZKFI9bTa1o7Xj19zcM7T7EvZ8eR9UHU7liJoF3nmdlzaarnCiGEEEJ8D7RaFVAZNUoFdED99PT8/UBLzpzw9i1cuaIygg4cgJs3oWwNU1a32c2jrMUwvRfBuQy1ObnrOSVLqmDSkCFQqBAUL66ykzJmVM/8bUZP7twqGAWqYXXRoioTKFcu9V76+tC1K+za9e/uixDiy5AgkBCCzDYZGL9lIG9evsUyUxoe3X5M2vRmJCUlEbAxmLrOFdm26DCWGdNQuYkjy8ZvI3BPKCMWdcYmXxYm9vAjOvx+8nqVGzjg6tGIoIOXWTP3QKrnmZgZMWFVN0zMjBjefiE3r3wKBOVzyImHbxeiw+8z2mURWXJlxGtlD2LvPmV6n5WMWtkDYzMjfEdtpNf0djyMfkxCoha7Erk5si6I6m3KcXhtIMtGbfwqeyeEEEII8aV9/AiGhimPGRqq479lYABjxkCjRjBlipo0tnCh6iXUd3Ra0p/Zxy3dvJhcD8X/eX0e3HxDSAjkywcdO6ppZO/fQ3CwyuoZPDjl+gMHgpsbXLoExsYq86hrV1Wi9qtXr9Q5IcS3T4JAQggA7IrnYshiN+5cf4BdcRuuh0SSr5gNTx+94NbF25SuXQRfz42Ur1v0l+ldKwk/F4XXcjeMTQ0Z3XERT2NfJq/X2KUi1Zs54j/nAAu9tqSaGpYpmyVT1vXE2NSQEe19iLx6L/lcyWoFGTLPmatno5jmvpICJXMzwrcrty7fZZHnJsas6U1iQiIrJ++g59S2XD8XhbG5MTkLWHNy+znKNijOxtl72DBrN0IIIYQQ3xONRjVvnjs35fG5c6FJk9+/p1s3mDlTNZyeNw9u3FB9h+zsQM86E642h4jPnF3NiW/SBN6/Z+ZMGD0aGjRQ4+ltbWHNGli+XPUZ+pWrq/qvdm0VaLp+HRwd1TNBBYVmz1bBJ1CZTDt3QufOKlh08OCnSWhCiP+eBIGEEMnKN3LEeWQzrgTdoHjVgoQcDKN0zcLcuHAbDZC3aA6m915G2wH1yJ43M+M6+fIs9iVefm68ePqG0R19ePPyHaDKvvpPdaJZ1yrsWHGSUZ2XpJrelTl7eqas7YWhsQHD2/vw8E5c8rlKDYvTzasZgfvC8PXaQqma9vSf1Z4Lx8NZN3sfY/zdeRn3mm2Lj9BtYmsuHLtGuizpyGyTgdBj13CoWoilnhvY4r3va26hEEIIIcQ/Nm0arFihgkFTp6rgi7+/yvT5I40bqyyesmVh2TKV6QOqhOvGhxx82HWIt2kywaFD3CzpxI2rHylVKuUaGTKovkJ3PyVpo9GoCWZ37kBUlFpv3z41Mt7JSY2b79gRqldXwR43N/DwUIGiwoWhd2/V40gI8W2QIJAQIoW2QxtRqVkpzh2+jH15O45vOUOFRsU5vScUm4LWpMtowWS3xfSa1BqL9GaMbr8AMwsTRvh0Ijr8AV6dfJMng+nq6uDq0Yi+k1px/sR1fMZsTfW8LDnSM9m/Bx8/JjDPYxPaz/6pqHGXyjRzq8oOv+Os9z5IjVZlcPVqzsldFziy+QyjVvbkfmQsx3ecw3V8K0IOXcbGPjtpM6ThVlgMJarbs2jYWvatOPbV9k8IIYQQ4p/KkUOVXzVqpDJtmjRRE8SyZYOYGDWavWBBNfLd3/9Tpk3v3ioLqH59FQgaMUI1gJ4wARzb2jHU4SDvTdKR5/J2hlxzYZ1/ykztu3fh0SPVZ+i3dHVV8+kyZVQwqF8/qFcPLl5UvYRAJRodParKynr2VI2jT59Wk8uuXk29phDi65MgkBAiBY1Gw+DFbhSrXJArgRHkdbDh1PYQKjQszoFVJ6nQwAG0Wqb3WsYg744kJibh2cabfMVyMmhOB66ciWRit2UkfPz0R0UdpzK07lmdvWtPs39DcKpnWufKQMeB9Th/4joBO86nONdlZGOqNXNkxZRd7PUPpFn36rToWYNdy48TfiGaIT5duHY2ktAT4bQZ3IDjW0NwqGaPnr4u0dfuY1/ejjnufpzYevZf3zshhBBCiC/F1BS6dIHp01VplakpPHigRsWnSQNr16p+PZMnw/jx6p40adTo9qZN1QSvhASVuRMYqMq+5gUUxujoPjAzwylxDfnn9GCxr5a4OHVN06YqcGNm9ufvZmioMo+cnSF79k/H9+9X2UEajWpSvWgRPHkCzZqpc0KI/55G+x8VaDo6OmpDQkL+k2cLIf5/b16+Y0i9ScSE38fKOj0v4l5SqGw+zh66TIcRTdgwbx858mah06hmeDkvJE/h7Eza2JfDm88yb9h6qjQuweB5HdDRUbHmxMQkPDv6cvlsJDM2uZO3cPYUz0tMTGJg87k8vPuUxYeGYp7WNPlcwsdExnZZzLmAa4zw6UzZOoWZ0WclRzadod/M9iQlJDJnwCoqNipBmrSm7PYLoHnvWhxcdQIDY33SWpkTdfkOYzb2x7FG4a+6j0L8zDQazTmtVuv4X7+HSEn+BhPi+zVihGrCPG/ep2P376spX3PmwLlzasrXb4Mz1taqR5Ct7S8Hjh1DW6cOmvfv2ZyjP12ezyCrtYZevVQGz69Tyf5X06apLKDAQHBwUKVlu3ZB+vQqYOXq+re/uhDif/Bnf4NJJpAQ4neZpjFmwpZBWFlb8urpK/T09LgTfo+CpWxZO20nrfvU5talGLYsOMDAuc6En4tmSk8/ajuVodOwhgRsP4eP5+bk8i5dXR2Gzm1POitzxnX3425kbIrn6erq0GdiS149f8uc4RtJTPw04l1PX5cRizqTv7gNk3sv53LwLfrNbE/xKgWYO3gN6TJb0NWrBSd2nCMhMZHyjYqz2fsATXrW4v2beF4+fUNW28yMbTOXq8E3v+o+CiGEEEJ8KcHB0LBhymOWlpCUpPoF5cihsoUcHFRD5l8ZGsKbN5/dVLkyb1dtIR59msfM4nmfUVy9Cr16/f0AEECLFrB9u+oBtHcv+Pmp3kY3bqgsJSHEf0+CQEKIP5Q2YxrGbuyPFjAyNeBZ7EvevnyLtW0mNs3dT5sB9Qk5fIUz+8NwG9ucoL0XmTdkLS171aBZt2rsXHGCjfMPJa9nYWmGp28n4j8kMKD5XC6fiUzxvNwFrek8tAGn9oUxZ9h6kpI+BYKMjA3w8nMjSw4rxrsu5fG9Z3gsccXWPhuT3JZSoJQtTv3rst//FNZ5MlOscgFWT9lBqwH1efVM/dWTLpMFns1ncCM0+mtsnxBCCCHEF5U9O1y5kvLY/PlqxPuOHSrbxtsbNmxQk7kSf6nOb9dOjZFPSFCftVoYfbou3uXXqWY/48erurJ/6O5d1U9o/HioUUP1LHJxUb2Kdu78x8sLIb4ACQIJIf5UdrssjPJ3J+7+M7LaZuTO9QcYmxhgbGbE/lUnaNG7Foc3nObJvae06V+X/WsC8ZuwnS4ejajSuAR+k3eybUlA8np5CmVj1pa+WFiaMbzDQgJ2XkjxvOauVWjfrzYHN53Fe2TKRtHm6UzxWu6GRqNhtMsiEhOSGOvfiwzW6fDqsIAqzUtRp30FNszZR8mahcnvmJuVE7fRamB9HkTFYpEhDSbmxgxrOJWbF29/rS0UQgghhPgievVSGT8nT6rPL1+q0fDFi39W6oWa3GVqqpo2JyZC2rRw6BCYmKjSscKFVc+g9luaqVQdjQaGD089l/5/9OEDZM2qmlf37asygmJioEQJiI//R0sLIb4QCQIJIf5fRSsVoN/8zkSGxVCoTB6uh0SSPU8m3rx8x7lDl6nboSKbvA9gYmZI/Y4V2eh9gC0LDzNwdnvK1y3KIq8tbF/6aUJXlhzpmbnZnfzFcjKlzyrWLziUItjTtk+t5EbS2/yOp3iXrDYZGLm4Cw9j4pjUww8zCxMmrHXHwMiAkW3m07p/XcrWLcoSr83Udq6ITUFr1k7fTeuBDbhxPhrrvJkxNjVkWMMp3LoU89X2UAghhBDinypZEhYuhA4d1KSw7NlVVk/37imv02rh7VtVBtazpyrR2roVli+HLFng2TNVLpYxIypNaNEidWPfvrBkyd9+v/Ll4fp1CA9XZWv16qlEIx8fNelMCPHfkyCQEOIvqdm2Am2HNubi8WsUr1aI0ICrFKuYj9vh93kQ9YjyDRxYMnoTdg45qNS4BEvHbeXIpjMMW+BCuTpF8Bm9mf3rgpLXM09ryoSV3anSuDjLp+3Bf86nkREajYaOg+pRunohlk/dzdPYlynepXCZPLhPbs2FE9eZN2w9GbNbMn5tL96/+cDo9gvoOaUthUrnYe7A1bTsW5fMNhnYsvAgLfvXIzTgGjaFsmNobMDwBlO5e+PhV9tDIYQQQoh/qmlTuHlTTQGLjoapU1Wj6NevP13j56eyf4yMYMsW2LNHZQe1basygipWVAlAyVxdVWdpADc3WL36b72bsbGKJ9WureJJkyeDoyNkyqSmhv3q40cVzKpVC+rWVePsExP/eF0hxJcjQSAhxF/mPLIptTpUJORgGEUq5CNo13kqNS5B6LFwSNJStEI+5vRbRdVmjjhUzs+cQf6EHLnCsAUulKicn7lD1xN86HLyegaGegyZ1Y6aLUvhP+cAc0ds4MN7lSus0WhwG9mIhI+JbF12LNW71GpdhjZ9a3Ng/WlWTNlFroLZ8FrZg4cxcUzoupjhS12xKWDNzL4r6DyqOebpzNjvf4pWA+sTcvASBUrlRYuWEY2nEffg2VfbQyGEEEKIf0pXF3LlgnTpVGCnZEnIk0eNkq9SRfX/8feHCxegQoXUI9/r1YOzZ3+zaJ8+MGmSSiPq2FE1FvobmjVTa1tZQWysCgRt3gx6eup8UhI0bw4bN6rytq5dYelS9UghxL9PgkBCiL9Mo9HQb14nyjUoTtiJcAqWyUPAxtPUaF2GUzvPk9Hakpz5rZnstgSnPnXIUzg7E92WcOXMLTx8u6gmzt39uHYuKsWafSe2pFWPauxde5p+TeZw59YjQJV+VWpQjN2rA3n14m2q9+kwqB5125VjvfdBti87hn2ZPAzz6cyN0NvM7u+P1+repM+UlunufvSc1g5tkpaAzWdp0qMmJ7eHUKJ6YV7EvWJE4+k8f/wy1fpCCCGEEN86HR2VVXP0KJQpA/37q2lchQqpaWFXrqjAy+cuXVINnFMZNgxGj1Y3tG0L27b9rXfKlQs8PdVS9vYpzx0+DFFRsH8/NG6sAkKHD8OpU3DmzN96nBDifyBBICHE/0RXT5ehy7qT18GGm6HR2BbJwbFNwVRrWZqDa07hUDEfaa3MmdDZh+7jW5HVJgNjnH2IunqXsSu6kT5zWkY5LyLiYkyKNTsNacC45a48ffwS94azOLLtHACtulfn3ZsP7FxxMtW7aDQaek1sRdnahfH12sLpg5coV7cYvae2IeTIFVZM2s74DX0wMNTHe9BqBi7oxOvnbzl7+DJ1OlYiYFMwFRqX5H7kI4Y1mMKLJ6++2j4KIYQQQnxJBQqoSq7GjcHAQB0rWRIyZIAhQ1S5WFKSiussX64qwH716pVq6gyoyM2wYao+q1UrVUv2P3r+XMWQcuRQ75A//6dljh9X2UL6+p+uNzJSPYOOH//99YQQX44EgYQQ/zMjE0O8NvQjjaUZsXfisMqajqDd5ylTpyibvQ9Qo1UZ0GiY5OrLIO+OpM9swej2C3gW+4IJa3pimsYIj7bzuXn5Top1HSsXYMGeQeQtnI1p/f1ZN/8QG3wOA3Dr6r3ffRddXR2GzHPGtnB2JvdcwY2wGOq2r4Dz0IYc3nSGff6BTNjYl/dv41k8ehPDlroR9/AFEaG3qdqqDIfXBVLHpTL3bj1iZLMZvH317l/fPyGEEEKIr0GjUUGfqCg1tStjRhg1SpVn5cqlyrYqVFA9e9KnV+Pcn7/QwMSJ0K+fat7TrJlqJPQ/cHJSpWC/9vxxdYVOndS0sowZ1fv8VlTUL42qhRD/KgkCCSH+lvSZ0zJx+2A0wId38ZiYGXEt+AZFK+bHf8pOmveoyetnb5jabSnDFnXG0MQQDydvtFotUza4Y2JmhEebBUSH30+5biYLJqzsRtFyeVkxfQ8n94XRpndNBs1o+4fvYmRiiJefGxbpzRjt4kvsvac49auTPKns8ulbeK3uxaM7cayeupOhvl2Juf6AJw9eULpOUXb6HqFu56rcvHibMU5zif/w8V/ePSGEEEKIryNDBhX0iYmBsDAViKlUCe7cgfr1oVs3NWo+JkZl5DRvjooezZwJPXqoFKFGjdRM+c9otRAUpIaJHT+uPoOaDBYQoDKP6tVT4+sXLVJj6RcuhDZtYO9e2L1b3aPVqvZDwcFqrP3Mmeq/AwdSl7EJIf45zedjmb8mR0dHbUhIyH/ybCHEl3MjNJoh9SZjns6MNy/fYZHenDQZ0nDz4m06eTVnxcTt5Myfld5T2+HZbj6maYyZsXMg79/EM6TFXBITk5i6qQ/Z82RKse7b1+95HvcaXV0dMmWzBCAxMYljOy9QulpBTNMYp3qX29cfMLDpbKyypGXG1n4YmRoyvrMvwQcu4bHUFR0NjHPxoUg5O6q3Ks2Mnn6UrVeM96/fERpwjTouldiz9CgVGjsyYmUvdHUlTi7EP6HRaM5ptVrH//o9REryN5gQAlTPnlevYPbsT8cSE1WD6S1bwMEBFYVxc1Odm01MYN8+qFiR16/VlLLoaDVpLDgYLCxg1y5YsACmTIG4uE9laY8fg62tmhR25IiabObiokrCEhJUwOj1axV7SkhQj8qcGczN1SPTpv0PNkiI79if/Q0m/4cjhPhH8hazYezG/jyPfYGFlRmP78WhTUjAOk8mVk3cTsfhjbl16Q5Lx2zCc5kbzx+/wqP1PMwsjJm0vjcaDQxrPY/70Y9TrGtiZkTWnFbJASCARWO3Ma2/P0sn7/zdd8mZLwsjF3fh7q1HjHdbSlJiEkMXdsbOISdTe/phYWXOwHkuhJ4IJ2jvRdzGtyJoTygZc2agSMV87F9xnJrtKnByewje/VbwXwXJhRBCCCH+bZGRUKJEymO6uir4ExmpPj95qsOpjr68beEMb9+q1J7AQEaPVqVb4eFqvPvly1CsGAweDLdvq0DOixef1s2QQZWcmZurzxUrqubVLi4QH69Kx/T1oXp1ePMGxo1T1xUuDB4e//pWCPFTkSCQEOIfK1w+Hx6revEgMpbsdlmIOB+NRVoTLNKbsW7Gbjp5NOFS4A02ee9n5NKu3IuMZaSTN+kymDNxbS8+fkhgRJv5PLr79E+f8yLuNQDv38b/4TXFytvRd1obQk9GMG/4egyN9fFa2YMMWdPh5eyDnYMNPSc7EbgnlDs3H9Gybx32rzpJ7iI25C9lS8CmYKq0KsMevwB8hq6RQJAQQgghfkhFi6Zu9fPunZrSVagQDBoEefPCoCE65Di0jMBcbVW6Tp06XFsezJgxKmgEKoNnzBhYt04Fh4oWhapVVbmZnZ3qPxQdrZpW/2rNGvD1Vc8aN07FmIKDVZlYjx6qTKx+fVi//qttiRA/BQkCCSG+iNJ1iuE+y5lbF29TsEwewk5eJ7ttJnT1dNnhewTnYY0I3h/GoXVBjFjclahr9xjVbj4Zs1kybnUPXr94x+Bmc7gbGfuHzxgw3YlVQaPoO7nVn75LzZaladuvDgfXB7Nj2XHSWpkzbm1vdHV1GOnkTfkGxXEaUI+9q06gb6RPg85V2LrwIEUrFSSbXRbO7LtI1VZl2LbgAL4j1kkgSAghhBA/nC5dVO8eT08VoAkJUSVetWqpEqygIJWtExQE0Xd0mVlkBRfsWsOrV6x9Wpu0N1OWlZqaqj7S7dpBRITqMXTxomoplDatCup8nh00diysXKlKv2xs1LHZs2HCBBVUypxZBYYSEr7Wjgjxc5AgkBDii6nXuSpOgxpy+dR1HGvYE3LoEvmL2/Dm5TuObgqm7cB6HN18hrMHLjF0YWeuX7iNV4eF5LTLwpSN7sR/+MiQ5nOI+oNJYIZGBlhlTouhkcH/+y7tBtRRo+PHbuXCyetkyWnFWP9evHr+Bs+282nRqxa12pVnzfTd5CxoTfXWZVk7YzcVm5bC3NKMCwHXqNa6LFvm7WOp5wYJBAkhhBDih5I+verNc+8elC2rgjeVKqnyrkWLYMYMsLJS15qZwWxvPWo+XEVSs+ZY8ALTpjXh3Lnk9Xx8oHZtKFhQjYX/+FFlAWXMqPoDrV2rho69e6fORUZC+fJQsyb4+0PDhnDpkioti4qCCxdUZlDTpv/RBgnxg5IgkBDii3IZ3Zzqbcpx9kAYpesW5fSeCzhWL8SDqFjOH7lK0+412L38GP/H3l1HVZV+DRz/Xi6dEmIgmGArdqFiYWKLBXZ3xxjY3a1jd3d3YDCigo2gYyImICDNff94Rh1fnRTn5zj7s5aLueee85yHM2tcd/bdceunGQ7s8wAAIABJREFUUPrPacX1C6GMbbcYx1wZmLqtN3paPQY1mcvdG4+/aB96enoMmO1Dlpz2TOyygif3nuNc2Ilhyzry8M5TxrX/kW4Tm1HKoxALhmykeNUClK1ThDUTd1GnQxX0tHoEnrpFJa8ybJm1n9XjdqTRExJCCCGE+DY4Oamgz9OnEBwMP/ygsncePFATxYKDP5ybKRPEJBgQt3Q9b6vXxyQ+kujS1ZjS7DJNmqiJXtOnq3MjIlRZ14ABMGWKCvg0aaJ6A4WGgr4+ODqq7KPWrdX5r17B/PmqObWrq5pUtmgRbNmiegWdOfO/eUZCfG8kCCSESFMajYa+89tTrGpB/PcHUqRSPk5v86dC/eLcuXKfu0EPqNW6AtsWHOHpvef0nt6SyydvManLcjJltWPa9j6YmBnxQ/P5PLjz9Iv2YmpujO/yjmj0NIzwWUTkq2iKueej70wfgvyCmd1/HUN+7ED+UrmY3nMlNVpVwLViXlaO24H3D/VJTUnlpn8oFRuXYv3kXexaeCSNnpIQQgghxLdnyBBo2FAFhwICVAPnhQvVe7t2QYECYGZtSNyKTZy1q4dFcgQdN1fl0e4rtG6teggBODioErNatVRvIH191U7o6VPVIFqjUfdq3Vpl/hw7pppUJySo0rBcudQ1e/eqUfbt2qnR9Rcu/K+ejBDfDwkCCSHSnIGhPiPX96RAWRcCT96koFtujq0/i0fLslw7e4cXj15R2as0aybv5u2bt3Qd78X5A0FM6rIMu0zpmLixO1p9LT80n8/DkPAv2kvmbOkZtaITr8KjGNVmCfFxiVRpUoq2w+pxckcA66btZ9S67mRxzsjEDktoOciT7PmzsGT4ZtqObkJMZCz3bzyhuEchFg5ax6E1p9PoKQkhhBBCfDv8/VXJVlCQygK6eRMaN1YTv374QU2Kz5cPunSB6p6GbGq0mVTPeljrIjhnWpXbGwPZskWt1aMHjBqlSrpA9QLq1k0Fhezt1bFOnaBPH2jaVE0N27sXfvxR3f/RIxUYqlYNrK1VqdrYsWr0vBDiy0gQSAjxVRibGjF6cx+y5nXgzqV75Cmeg8OrTlO7XUUuHrlG0tsEytUpwuLhmzE00qfz2Mac3RfIxM5Lsc9iw8QN3UlN0dG//ixuXLz3RXvJWyw7g+a14k7gQ6b2XE1qaipNenjg2a4i2xYe5cimC4zf1BsLazPGt19Mj2ktsctszZLhm2k/tilP7z8n+nUMhSvkYWa35RIIEkIIIcR3Z+dOlZljba0mdp0/D4aGqh/Q7t2qTMvWVmUJBQbCT4GGxK3aDJ6e6EW+Zv3zKhyfrqI+VaqooE2dOmoyWNasKvtn7ly1DqjXnTqpUrH4eDVuvmVLePZMjYt3cfl4f5UqqZ5BQogvI0EgIcRXY2Zlyvgd/bG0MefJ3XCc8jpwaNUparYqz5ldlzA2NqBY5fzM7rsGKxtzuo734tx+lRHkkMOeGbv6YmVjxrDm8wk8e+eL9lKuZmE6+tbn3MGrrJtxEI1GQ+exTShX25UlI7dyM+Ae47f0JjUllSldlzF0WWcsbcxZOW4HnSY2JzToIWj0cHXPy8xuyzm51T+NnpIQQgghxP+evj4kJn54nSOHmtZVvjyEh8OOHTBzpirLcnKCzJlhwVJD1bTH0xOjmNdMvlQFLl8GVEDp/n04fFgFmB4+VBO/0qVTI+Cjoz/cy8Dgwz+nT6+CQg8efLw/f/9PA0NCiL9OgkBCiK/KNpM1E3YNRKvVEvk8kgxOdhzfdA6PluU4tukC9pmtKVjWmandlmNjb0GXcU04tz+IaT1XYZ/Fhmk7+pAxqx2jWi/m6rmQL9pL/fbuVGlckg2zD3Hx+E20Wj0GzW9L3uLZmdZzFbHR8YzZ0JPXz6KY3W8NI9Z2R6uvx5bZB+kwzoug07cwMjEiX6lcTO24mEvH5OsoIYQQQnwfmjaFlSvh8a9mc1y9CocOqewgd3d1LGdONd3L3V2VcGFkBFu2cC17XaxSIqBq1feBIAMD1eDZywt8fFRfoNBQNfq9WbPP78PYWJWTtWgBt26p0fKHD8PgwarRtBDiy0gQSAjx1Tm6ZGLSnkGkJKUSFx1HOjtLzu4KoFrzshxYdZrseR3IUyw7Ezv+iL2DNe1HNODUzgBm9lmDpY0Zkzb1IIOTLSNbL+bahdC/vQ+NRkOPiV5ky5OJKT1X8+zRKwyNDRi5sgs2GawY3WoR1umt+GFpZ+5ee8RS362MXNeD6MhYDq87R/uxXvgfDMLSzhLH3JkZ3XwOty/eTcMnJYQQH9NoNDU0Gk2wRqMJ1Wg0Q37nvEYajUan0WiK/5P7E0J8PwoUUIGWwoVVI+YWLVSgZ+xYNdY9NVWdp6+vJoH5+qrSrb17oW4TIzyitvC0ZD016qtKlffj45csUWu1a6fKyzJkgGXLVIDp+vXP78XXV42Mr1RJXTNggGpQXbnyP/MshPieSRBICPGPyJY/CxN2DyQuNoGUlBQMjPQJOHKVKk1Ls2vxMQqUzIlz4ayMb7cYJ5eM+Ayqw7Et/kzruQqLdKZM2tQD+yzWjGy1iCtngv/4hr/B2MSQ4Uvao9PpGN95OYnxSaSzs2DM2m4kJyUz0nsB+Uvnot+c1lw5dYvtC48wfFU3HoeG43/oKm1HN+HC/itkzpkBa3tLhjeazr3rD9PwSQkhhKLRaLTAfKAmkA9ortFo8n3mPAugNyB1qkKIL9K3r2rmXLy4CsAEB0OvXr+Ufi34cF716qq0y84O2rSBs2ehUnVDakZv5pRNA4iMVBlBFy8SEgIlS358H319KFoUQn4jyVtPT00Pe/pUZQ9dvQr16n21X1uI/xQJAgkh/jHOrtkYv6M/b15FY2ZhQlJ8EtfPBlOhQXE2zz5I8cr5yJ4vC2PbLCR3kay0HlqXE9suMqXbCiytzZi0qScZHW0Z2WoRJ3de+tv7yJw9PQNmeRNy9RGzB21Ap9Ph6JyR4cs6Efbzc8a1/5GKDUrQcUwT/HZf5vzBIAYsbMeNC6FcPx+Cz/AGnNtzmXylXDA0MmBwrcncvSaBICFEmisJhOp0uns6nS4R2Ah87n+DxgKTgfh/cnNCiO+Tk5Oa5NWxo+rPo9HAunUwezaULq2aN+fMqWI8JUpAjRrw/DmsXw9XbhiyudEmLmVr+D4QVN3qAidPfnyP+Hg17r1Agd/fi0ajqs2EEGlHgkBCiH9U3pK58N3Qi/D7z0mfxYbo1zGEXLpH6ZqFWTtpDxXqFcPJJROjfRaQp0g22o9swOndl5nSbQVWNmZM29GHPEWzMaXnanYtP/W391HaoyCtBtbm+PYAtsw/CkBht9z0nt6SIL9gZvdfR8OuVWnU3YO9y08S/vAVPWd4c/HINe7fCqNxrxqc2HIBt3olMDQxZEjtydy9+uAP7iqEEH+JA/DoV68f/3LsPY1GUxRw1Ol0+35vIY1G00mj0QRoNJqAFy9epP1OhRDfNWdn1Z+nc2e4excSElSz5x9/VOPjtVp1nkYDvuMMqPxsI7omTeDNG1qv9+D5jrNMmKAaTF+7pppLV62q1v2cR49g2DBo2FD9fPTo8+cJIf66PxUEknp0IURaKlalIIOWdubn64/Ims+ByOdveHT7CUUr5WOZ71Y8WpQlcw57fFvOxbmgIx18G3J692Umd12BkYkh49d1o7RHQRaN3MbqqfvQ6XR/ax/NenngXq8YKyfv5fLp2wBU9SqN90BVirZ26j7a+zakUuNSrBy/E30jAzqMacKZnQFER8VRzduN3UuOUcmrNEamhgyuM5nQIAkECSH+GRqNRg+YAfT/o3N1Ot0SnU5XXKfTFU+fPv3X35wQ4rsTFQUjR6qx7yEhqmF0QgIMGvTxeWZm8DbJgNQ166F5c/Riotn+tjrPt5zC0VGVgd27p7KNPufaNVWO9vat6iUUG6tey3h4IdLGHwaBpB5dCPE1VGxUih4zW3HzfAh5SuTg5ZMIXoVFULCcC4uHbKRe+0pkzJqekS3mkj1fZjqOasSZPZeZ3HU5elo9hi1uS43mZdgw+xDzhm4m9V23wr9Ao9HQe2oznFwyMrnHKl6ERQDQol9NqjUrw/oZ+zm6yZ9+c1pTpGJeZvVZTRbnjLQYWIdDa/0wszLFvXEpts4+SIWGpTAxM2ZwncmEBN5P46clhPiPegI4/up1ll+OvWMBFABOajSa+0BpYLd8GSeE+BqWLVP9nocPV82d8+WDJk3g1Cm4cePDeYsWQc2aoDXShzVrwMcHvbexTAyqyYGBx7lxA3r3hgYNVC+h/2/wYNUYeuZMaNxYjakfMQKGDv3nflchvmd/JhNI6tGFEF9FnQ6VaePbmMvHb5C/jDNhd8N5GxVL7mLZmdt/LQ27VCVTdntGtZxP9nyZ6TS6EX57rzCh44+kJKfSa0ozmvaoxv61Z5nUbSXxcYl/eQ/GpkYMW9yOpIRkJnVbSXJSChqNhl5TW1CkYh7mDFzH9QuhjFjZlZwFHZnQYQmuFfNSr3MVdi46hmMeB6o0K8v2eYdwq1ccMwsThtSZzE3/vz/FTAghfnERcNZoNNk1Go0h0AzY/e5NnU4XpdPp7HQ6XTadTpcNuADU1el0Af+b7QohvmfXrqlm0b82ebIa4d6uHcydq/oFzZwJ06b9coJWi275CrZZtcNEF0fVmbVxuX+YLl1g6lQYM+bT+xw5Aq1bf3ysTRt1XAjx5f5MECjN6tGFEOL/az7QE++h9bl09BpF3PPz4OYTUpKScXbNypy+a2jYpSqZs6dnVMt5ZMubmW4TmnL+4FVGei8g/m0CbYZ40mFEffz2BTGo0WxePo38y3twzJWBXpObcTPgZ1ZO2gOAvoGWYUs74uickXHtl/Ds8SvGbuyFfRYbRvssoFqLclRpWoY1E3eRNV8WqrV0Y8eCI5TxLIqFjTmDak7k2MbPfL0lhBB/kk6nSwZ6AIeAW8BmnU53Q6PRjNFoNHX/t7sTQvzXuLioZs6/ljkz2NioDKHbt6FUKRUscnH5cM7bBC0+8T+i69QZEhPh5UsAateGn3769D7p0qneQb8WHq6OCyG+3Bc3hv4r9ejSlFAI8TneP9SnYc8a+B+4QpnaRQgNfIBWoyFXISdm915N4+4eZMqmAkGOuTIwYG5rrp0PYWiTOURHxNKoc2VGLu/A47vP6VNnOneC/vqkLvf6xajdyo1ti49z/tBVAMwsTBizrjsmZkaMbDmf5KQUJmztg4m5MSOazaH5gNpUbFCC5aO3kTG7PR4+5dm18ChudYuTp2ROpnRYwnLfv1eqJoQQADqdbr9Op3PR6XQ5dTrd+F+OjdTpdLs/c667ZAEJIb6WDh1gxw5V7pWQAM+eqWN58sCECTB/vhonb2398XUmJmBhpUdIv4UknjjLsyotSElRwaKsWT+9T7t2MHCgmiAG6ueAAdC27df/HYX4L/gzQaA0q0eXpoRCiM/RaDR0mtCM6q0qcHr7T1RsWJLbF0MxNNKSo2AWZvVa9T4Q5NtyLtb2Fgxb2oG71x8zuNEsIl9EU7paQabv7IvWQMugRrPxP3r9L++j08gG5CqYhRn91hH+8BUA6TNbM3ptN2Kj4vD1XoCZlSkTtvYhOSmFEc3m0G504/cZQensrajeqjxb5xzEIWdGqvuUZ9P0ffh6zeLN65i0fmxCCCGEEP+YTJng8GHYvh3MzSFXLjW+fevW378uORkqVIASJTWkq1GafPnUGHofH+jb99PzR48GQ0N1Tq1a6qeJiTouhPhyfyYIJPXoQoivTqPR0HtOGyo0LMnxTeco36AE18/ewcTUkBwFHH8JBFUjU3Z7fFvMw8BAy5i13Qj7+TmDG83i9bMosufNzOy9/XHKnYmxHZZyZPNf61NvaGzAD4vaATChy3KSEpMByFnAkWFLO/IgOIxx7ZaQKVt6xm3qRdTLGIZ7zabNyIbUbF2BzbMOgJ4ejfvU4NCaM4RefUjLIfW4fOw63cuNJOj0rTR/bkIIIYQQ/5RChVQg6O1bNS1s0SKwtPzt88PC1DX+/mp8fGIivHmjJn7FxoKd3afXGBvDxo1w7hx07w7nz8OGDSrgJIT4cn8YBJJ6dCHEP0Wrr2XI8i6Ub1CCk1su4FavGFdP38bS2pSchZyY2VOVhjm5ZGJMq4XEx8YzZl13nj9+TX/PaTy++4x0dhZM3NidgqVzMaPfOuYO2URifNKf3kOmrHb0nd6SkKuPWDfjwPvjxSrlo88MbwLPBDOj92qcXbMyZkNPXoRFMKjuVJr0rkHzAXU4tMaPsJ9fMnxtD148fs3OhUfwGd4Qrb4eg2pNYpz3PJ49fPk1Hp8QQgghxD/CwAD0/kQ6Qf/+ULcuREerCWJnzkCNGmoy2KJFavLXb8mVS/UNypkz7fYthACNTqf7n9y4ePHiuoAASRYSQnwqOSmZSe0WcWbHRdzql+Ds7kuUqVOUiBdvCAl8SJ+5rdm7/CShVx8yZElH7B1t8fVegE6nY9SabuQtlp2U5BRWT93H5vlHcS7kyA+L2pHRyfZP72Fm//Uc3eLP1O29yVc8x/vjm+ceZsX4ndTvVJlOoxtx58p9hjedg76Blglb+xB05jaLhmwkZ0FHukxsxnLfLdz66S612rljZWvOtjkH0el0NO5di6b9amNsJl9rie+XRqO5pNPpZFz5N0Y+gwkh/gk6nSrjunhRNY62sVGZQAYGEBqqRs6PHw8hIWl3zxcvYO1aePoUypaFOnVAXz/t1hfi3+L3PoN9cWNoIYRIa/oG+gxZ3oVynsXw23mRsp5FOb/3MnYZ0+FcJCsze6ykTpuK5C6WnYkdlhB29xkz9g7AzNKUoY1nc/nULbT6WtoOrYvvio48ffCS3nWmcevSz396D51HN8Q+iw0TuqzgRVjE++NNelSjXsdK7FxynOVjd+BSJBvT9g5Eq9Wjf60pZHC0Y/SGnjx//JrhXrMp37AkDbt7sH/5SY5uOEfLofUpXcuV9ZN30brAADZO20PEs6iv8RiFEEIIIf7nLCzUQLCwMNVQ+ulT0GpVqVe+fGl3n/PnIX9+CApSk8QmToSqVVXpmhDiAwkCCSG+SfoG+gxd1Y3StVw5uyuAsnWK4rcrAJv0FuQpnoOZvVZRo4UbBco4M6Xrcq6fD2H6nv445LDH12ch5w8GAVC6WkFm7x2AmYUJQ5vOw29f4J+6v6m5MSOWdiAuNoFhLRcQHREL/NLEenQjarcuz9YFR5k7aANZcmVk5sEhOOTKwOhWC7h95T7zTo6gULncLBm2mVuX7tNvQTtsM6ZjxaithAQ+pNmgumTLn4UVo7binacv41vNJ/DULf5X2ZlCCCGEEGlJo4GGDaFpU5WNky4dLFigysHMzVVAKFeutLmXTqemii1aBCtXwg8/qKBQunQwb17a3EOI74WUgwkhvmmJCUmMbTGXnw4FUb5BSfx2BVDWsyhvIt5y0z+U3rNbc2pXAJdP3KTzOC+qNivLiBbzCAl6SN+Z3lT1Kg1A5MtoRrVZQnDgA2q0KEsn3waY/IlSrKvnQhjmvQCXQk6M39AdYxNDAHQ6Hasm7mbTnEMUq5SPwQvbYWRswLxB6zi8/hz5Suak90wfQgMfsGjoRuJjE6jftSo5Czqybc5BQq7cxyFnBqq2KEfEs0iObTpPTEQsWZwzUqNNRao1dyOd/e90WhTiX0DKwb5N8hlMCJFWdDo4cUKVfGXOrEq9Hj8GV1eoXFmNkc+WDczMwN0djh2DuDioVAlOnlTZQDNm/Pn7hYTA0aMquFO3rloXIDgYPDzg/n0VfHrn2DEYMUI1mRbiv0TKwYQQ/1qGRgaMWNeD4tUK4rfzIhUalODcnstYWptSoKwLs3qtorxnUdzqFmXx8M1sX3iE8Zt6UqisM9N7rWbVpN3odDrS2VkwZVsvvLpX5dCG83T3mExw4IM/vH+hss4MmtOKW5fuM7HrChLiEgGVEdTmh3r0nNqCIL9g+tSczOO7z+g7uzUDFrTlUUg4PSqNI/zhK+afGkn5+sXZOucQc/utpUydogxe1gkjU0NWjd3Oqe0Xqd2uEl2ntsTS1pylwzbRwqUPY5rPIeDoNVJTU7/2YxZCCCGE+NOio1V5V/Xq0KsX3LsHXbpAmzaqAXS/firQY2GhRsunpkKBArBqlSrP2rdPBZAKFlTr6XRw86a69nM5CjodDB4M5cpBQIDq+5Mjh8r2ARV8SkpS9/m1hATpCSTE/yeZQEKIf4XE+ERGNZ3N5eM3qNi4FKe2/UTp2kWIi03kql8wPWa0JCTwIQfX+lG/cxXajWzIgqGbOLT+HB7Ny9Bragu0+loArvvfZWrvNUS+iGbAbG/K1ynyh/ffu/oM83/YQrbcmRg8vzXZ8mR+/96Nn+4yvsOPRL2KoWGXKrTsX5u4mHgWDt3I6V0B2GVKh8+QuuQq6MS6KXs4t+8KphYmeHZwJ1ehrBzdcJafDgahp9WjQoMSlK1TlNsBdzm6/iyRL96QxTkTjXpWp3qrCu9/ByH+DSQT6Nskn8GEEH9XWBh066aycZKSVJDnyBEYNQqKFwcrK9ixQ2XgeHtD1qzw5AncuqWu799fjXqfNEn17omKUoGfVq0gJkZNHDM0VCVdpUt/uO/+/erac+fA2lod27sXunaFn39WgZ4SJaBDB+jcWb0fH69Kz7y81J6F+C/5vc9gEgQSQvxrJMQlMqrpLK6cuEmV5mU5tvE8JaoVJEUHl0/cpOuk5oQ/fMmOxceo4e1Gj2kt2TDjAOtn7KdMzcIMWdgOQ2MDACJfRTO2/VJuBvxM2yGeNO5WBb0/mHUacOIm0/uu4210PB1H1qd2Kzc0v+QcR0fEsnTMdg5vOE8GR1vaj2hAuTquXD8fwrLR2wi+fB+HHPY07VuLrLkzsXXuIfx2XcLASJ8aPuVxq1uUc3suc3jtGd5Gx1OyemGa9q/Nswcv2DH/MHcu/4xT7sx0GN+UktULv7+vEN8yCQJ9m+QzmBDi70hJUWVe9evDkCFQpowa4b5ihQrmvHypMnLs7VXZVng41Kunsn4qVFBNmsPDITJSlYyNHq2CP87OqiSsWTN1n507VSDn9m01UQzAx0dlAXXp8vGeiheH6dOhYkUVaKpRQ62XO7e6b5kysGaNZAOJ/x4pBxNCfBeMTAzx3dibQuXzcHzjOWq0rsDFI9dITU6mVPVCLByyAWt7S5r3r83BtX5M6byMpr2r02VcE84fCGJky/nERscBkM7Wgokbe1ChblFWTNrDSJ9FvH7+5nfvX7xSPhYcGUyhMrmYP2wLYzss5c0vDaMtrM3oO9OHydv7YGxqyIROS+npMYn4uCRmHhzC8JVdMDYzYkbPlUzosATXinmZf8YX90Yl2bfiFEMbzCQmOp6JuwfSangDbvqH0t9jAic2X6DbdG98N/YmJSWFkY1nMsRzCnevPfzqz1sIIYQQ4p0jR9TI97FjVS8enQ4aNFC9f1JSVOBn1SpITlaj4BMTVcBn2TLo00et8eSJCuwsXaqyc7Ztg1KloHlz1ctHo1FrVq0KGzd+uHdSEhgbf7onExN1H4C8eeHOHRUoyp0btm6FDRskACTE/yeZQEKIf5342ASGNZjGTf9QarevxL5lJylQ1gWr9Jb47bmM95C6GJkZsWzUNgq75cZ3TXcuHL7KjN6ryZo7M2PXd8cmgxWgGjzvX3uWH0fvwMjUkDGrupC7SNbfvX9qaiq7lp1i+YTdWNmY06yXB5UblcDUXH06SUlJ5eT2i6ydupfwh6/IVyIHTXp4UKJqfgKO3WDD9H3cvvQzdpnS4dW7BiWqFGDXkuMcWHWaxPgk3OoVw3twXc7vu8z2uYd48zqGktUL02NmK87tDmDNxJ3ERr6lTsfKdJ3SUkrExDdLMoG+TfIZTAjxdyxaBJcvw5Il6rWvr2rIXLQojBmjSrny51flXba2qim0gwN07KjKx0JC4MAByJPnw5pTpqjsoP/fHHrECLXe6NHq9fr1MHcunDqlysUALl1SPYkePVLBICHEB1IOJoT47ryNjmNYg2ncvniP2u0rsX/5SfKWyoV91vSc2OKPV+8aOOV1YEavVbgUyca4Tb0Ivnyfce1/xNrekolbepHB0fb9eg9DwhnZahGpKTrmHRqEpbXZH+4h9Poj5g7exJ2gh5iYG1G1cSk825THMVcGAJISkzm84Ryb5hzixZMIHJ0z4NWzOhXrF+fa+Tusn7qP6xdCyOBkS6sh9SjqnpfdP55g+/zD6Gk1tB7WgCrNyrB/+UnWT96NhbUZw1Z3J4tzRtaM38GuRUcoX78EQ1Z0Qd9AvuYS3x4JAn2b5DOYEOLv8PeHFi1U4EdfX/XwqVlTNWo2MlJNmAHat1clYsnJKsCzeLEK9uh0qil069YwZ47K7Dl3Tr2+fl2tASrrp2hRFRiqVk0dS0lR5WK3b6usofBwFRhaskSNoRdCfEyCQEKI79Lb6Dh8m8zi2tlg6nSszP4Vp8hdLDtOebNwaK0fdTtVppBbbiZ1WkrWPJmZsLUPYfdfMrLFPEzMjZmwuRdZcmZ4v96doIf0bzCTIm65GbWy0x/2CAKVSRR85QF7V53h1J7LJCem4OrmQm0fN0p7FETfQEtKcgpn9lxm05xD3L8VRgZHWxp3r0a1pqW5dj6EFWO3c/faI7Llc6DtsAY45c7I/AHrCTh2HWfXrPSa6YNWq8fYlvN48eQ1XSa3oHb7SuyYf4jFQzZQunYRhq3ujqGRwdd83EL8ZRIE+jbJZzAhxN+h06mx7Hp6KlPH1FQFc1auBE9P1ZdHo1H9fqZOVQ2c8+UDPz/Inl31DEpIUIGjTJlg/ny1ppcXvHihJopptTB7tsr22b1b3SslRTWaDglRpV+PH6u1vb3V+HkhxKckCCSE+G7Fv03A12sWQadu4dmpCvtXnCJXYSdciuVkz7ITeHi7Uc6zKOPbLSZTtvRM3NaXiBdvGNZ0Lnp6eozf3JPseR3zQWMvAAAgAElEQVTer7d31RnmD9tC2yGeePWo9pf2EvkymkMbz7Nv9VlehEVgbW+JR9PS1GxRhgyOtuh0OvyPXGPjrIMEX76Ptb0lTXtVp6aPG+f3B7Jqwi7Cfn5OYbfc9Jruzd2rD1k4dCNRL97QoJsHjXp4MLP7ci4evkrVFuXoObMVh1afZn7/NZTwKMSIdT0xMjFM60csxN8mQaBvk3wGE0L8XfHxKqtnwwYV0KlbVwV5pk0Dd3d1TnKymhpmYKCCQgsWQMuWcOaM6h80ebIqH3vyRPUWSk5WfYM2b1Yj3hs1gk6dVCAoPFw1e9bXh2LF4MQJNRp++3YVhAoNVfe3t1dZQwbyfZgQgASBhBDfuYS4RHy9ZhF48iZ1u1Rl//KTZMufBVf3/Gyde4gqTctQtUVZRvsswC5TOmbsH0zUqxiGes0hMT6JmfsG4pDDHlCZPZO6r8JvXyALjgwmq0umv7yflJRULp28xf61Z7l47AY6HRQu50yDjpUoUTkfAEFn77Bhxn6ungvBySUTA+e1JlvezBxY48fKcTtITkpm8OIOFCqXm2W+Wzmw6jRFK+XDd30PNs/Yz7pJu8hfxplJewZxZJ0fc3qtpHyDEgxb3T1Nn60QX0KCQN8m+QwmhEhL48fD1auqkfO74aUVK6qgj5MTHDqkJna1aQNxcSqj59kzuHgRsmT5/bW9vFTQZ+JEtfa7sjBnZ4iNVcEoDw81Jv7pUzVK/vFjmDULHjxQgaPBg1XTaCH+SyQIJIT47v16fHy9rtXYv/wkOQo6UbRqATZM20ftthVxb1yKH5rMwtk1K5O29eNleCR9a03BOr0lsw4MxthUZdFEvY7Bu/gIarUsR9exjb9oXy/CIji88QKHN13g+ZMICpTKSZshnuQvkeN9ZtC8QRuIehWD98DaNO7uQcTzKMa1WcSdK/fpOd2bmj7lObjmDLN6rcK9UUkGLenAqa3+TO6whPpdq9FlcgvWTdrF6nHbmbB7IMUqF0iLRyrEF5Mg0LdJPoMJIdJSdLTKwjEyAhcX1TMoKAjevFGTwFxc1Dm2tmoqWMmSYGkJ9+6p8q/fEh+vrg8PV+e/c+0aVKmimk6fOvXhvcWLVbAoJUUFpgoVgoMHVW+hEydU02oh/itkRLwQ4rtnZGLIqE19KFqlALsWHqFmm4qEBN7n5vk7NOrhwb4Vp/A/GMTA+e246X+Xad1XkNHJlkEL2vIg+Ck/jtr6fi0rG3PcarlyfPtF4uMSv2hf6TNb07JfTZaeGUH3CU148vMLBjSYxai2S7h/+ymlPQqx8MRwytYszMoJuxnUYCbJiSlM2t6PIu75mN13DRtn7qe6txttRzbk5LafWOa7jUpeZajXpSo7Fx7Bb3cATfrUJFP29CwauI7kpOQvfZxCCCGEEH+KhYUaDX/nDuzbp4I36dKpUq8sWeCnn1TWjre3mvaVkKCCNb8XAAIVzElNheXLVSaPlZUqDQsOVgGmIUM+Dg61b6+ygKZMgVatwNVVnTN4MIwb93WfgRD/JhIEEkJ8N4xMDBm1sRfFqhZg16IjeLR0I+j0bR7fCaN224psnXuIx6HhtPdtxOldAawct5Ni7vlo3L0a+1f7cXbflfdr1WxZlpioOPz2Bf7uPVNSUgl/9IqrF0I5sz+IfevOsWXRca5eCCUlJfX9eQaG+tRpVZ7lfiNoM6QO1/3v0t1jMnOHbsLASJ8hi9szcF5r7t96Qu+ak7l74zGj1nanUqOSrBy/kyUjttCkdw08O1Ri27xD7Fh4hA7jmpK7WA5mdFvOy7BIOk1swcPgMPYtPfHVnrEQQgghxP/Xsyf07g1hYSroc/iwCvbcuqWmf1laQpcusGkTzJyppoz9ETMzyJxZnb98uSr58vICHx8VELKw+Pj8Fy/UTxeXj4/XrasmmwkhFCkHE0J8dxLjExnVbA5Xjl+nfvfq7Jh/mIY9PIh6/ZZjm84zec8Azuy6xN4Vp5i8ox/5SuWiv+c0XoVHsfryeLRaPXQ6He3cxpDVJROjVnT67H2uX7zHqPZLiY2O/+z71uktqFDblYp1i5DHNSuad4XyQHRELOtnH2LXslPkLZ6dsWu6YGpuTNj9F4xsMZ9X4VHMOjAIR+cMLB6+mV1LjtNrujfVvd2Y0HYR5/ZeYfaxYVjamNOjvC8uRbMzfkd/htadyt2gB6wNnilNosX/nJSDfZvkM5gQIi29eqX69jx//mHMe6dOatT72bNQpAjcvasCOhcvqmydP8oCAjWC3sEBTExUQ+nixeHoUTWSPnNm1W9o5041QQzgyBGoXh0ePvy419CePSo76MyZtP/dhfhWSTmYEOI/xdDYkOFrupMhqx1ndwVQ3ac82+cdxs2zKPZZbFg8dBPtRzXGNmM61kzeg76BloZdq/L6WRS3Au4BoNFoyJwtPZEvoz97j6jXMUzqtQZLGzN6T/RiwtouLNg/gLUXfNkcOI6hc1uRt2g29q8/T7+Gc2hXcTyHNvvzLvBuYW1G51ENGbqwDbcv32eEzyLexsSTOVt6Jm/vg4mZEWPbLSYuNoHO47xwrZCHH0du4cWT1/Sb2wYrO3MWDdlABidbmvSpxeXjNwgNfEDLwXV58zqGYxvP/WPPWwghhBD/XcnJKqijr//hmJ+fCsjo66vsn4AANfJdX18Faf6Mhw/VKPlbt6BMGXj0SGUC7dihRstHRqoG1HPmQN++0Ly5GlXfrZsaRw9w+zYMGKAylYQQigSBhBDfJVMLEwYv68KLJ695GxNP1rwOzOm9khYD63Dv+iNObLlA0741uX4hhCunb1GyagH0DfU5t/9D+Ze5pQkxUXGfrK3T6ZgxcCNRr2P4YV5rajQrTZFyLmTPmxnbDFZYWJlSoY4rIxa1ZcPF0fSb1lw1nx68iTGdln8UWCpfpwhD5rf+KBBkmzEdQxa34+n9l8zovRqNRkPf2a0BmNV7NSYWxrQe3oCbP93l1PaL1GlfCVNLEzbN3EeBcrnJVTgrO+Yf4n+V6SmEEEKI/w47O5UJtGrVh2P29qpRc/36H45FRqoG0TY2H47dvKnO27kTEv9fG0YHB9UUOilJBXFmzlQTxoKCIE8elRXUrZsKEllaqiyjzZvB0RFy5YKcOaFCBejRQwWPhBCKBIGEEN+tvCVz4T20Pqe3+VPZqzQxUW85v+8yBcu6sGrcDsp7FsMuszVrp+zB1NyYohXzcHZf4PvgibmVKbFvPg0C7Vx+mp+O36TjD3XJVeD3Z5uaWZpQrVEJpm3pQcdhdQk4fZsuNaZy6XTw+3P+fyAoPi6RQmVdaD+iAef2B7F1/hEyONrSaawXgWdus3fFKTxaupGzkBNLR25Ba6DFs2Nlzu66xOPQcOp39+Dh7TAuHbuetg9UCCGEEOJXFi2CbNlUs+aOHaFoUZg8WZWGXbgATZuq82JjVSCnfn3Vzyc1VZWMVa2qegjNnq3Gvt+8+WFtKyto105l+ISGqmv27FHNpfv1A0ND9d7ChepY9uyqHG3+fDUe/sABlT0kWUBCfEyCQEKI71qzgZ44F8nGsY3n8OpTC/8DQTTuWZ2oVzEEnblNTZ/y3PS/y9voeAqXy83zx6+JehUDgFar98mkraTEZNbPPUxx9zx4tnL70/vQ09OjYQd35u7uh7WdOWM7Lyf0+uP3778LBN28eI/N844A0KBzZcrWKszaafuIePGGGj5uuJbPw7qpe0lJSqHzhKa8DIvg6IZzNOjmgb6Blv3LTuLeuDTp0ltyYMXJL3+AQgghhBCfsWYNzJqlAjPR0XDunCrD2r8fRo4EX1/Vy8fVVWXnJCfDvHkfrg0KUtc0aKB69gwfDi1bqlKvd6ZMgfLlVTmYkRGMGgWrV0OpUr+/Nysr1SD6XY8iIcQHEgQSQnzXtFo93JuU5sGtJzjlzQxASkoKAGE/P8cuczoA3kTEoG/wcZfCl+FR2GZM99GxS6eDiYmKw7OV20eNnv+sbLkzMWFNVyxtzBjdaTmvX7x5/175OkWoWK8o25ecIOLFGzQaDW2H1ScpIZmdS46j0Who2rcmUS+jObnjIgXLuuDsmpXdS09gZWdBqZquHN98Ho0G3BuXwv9gEDGRsX95j0IIIYQQf2T6dJV14+qqXpcqpQJAISEqA2jIENXXZ/lyuHEDNmwAc3N17vr1KnOnSBGYO1cFfxYvhmfPVFbRO/r6KvDz/LnKJrp0CapUgRUrVP+funVVQOmXj3ZCiD9BgkBCiO9e8aoFAXj9NAqAh7fDsMtsTdjdZ1jaqE8j0a9j35eBvQvuvAqPxC6j1UdrndpzGUtrM4q65f7b+7FOb4Hvj+2JjnzLzEEbP+rd492/FkkJSWxZcBSALDkzUL5uUfasOE105Ftcy+cha57M7FpyDADPjpV5eDuMoDO3qdbSjaiX0Zzbe4XKzcqSlJCE3y6ZACSEEEKIv+fxY1XetXgxvH378Xs//6zKv34tf36VDZSYCFFR6tr27aFRIxUwehesefJEZQHdugWHDqnAT/36qm9QQsKn+9BoVPmXTqcCRkuXqlHxLVqo7KK2bT/OIBJC/DYJAgkhvntZ8zqQPosN188Fkylbeu5efUjmHPY8ufv8fRDoTUTM+/PfJfi8DI/8KBMoPi6R80du4Faz0CdZQ39VznwOtB5Qk4CTt7l0+vb741ly2FOlcUn2rvbj9XOVJdS0V3XiYuLZu/IUGo2Geh0rc/faI274h+LesCSWNubsXnKc4tUKkiGrHXuWHMOlaHayOGfk2AaZEiaEEEKIv65LF8iaFcaOVX110qWDLVs+vF+kiBrL/munTqmGzKmpUKkS3L8PCxaonj2bN6uA0Du2tqqBNKjPXsWLq+CRsfFv7+nMGQgMhOPHVbPnZs3g5Ek1jezixbT6zYX4vkkQSAjx3dPpdKSmpIIG3kbHYWhkwKunkZhZmvDk3nMArGwteBD8FBNzY0wtTHj5NJLXz97g5JLx/TohVx+REJdIycr50mRfnj5u6BtouXrh7kfH67WvSFJCMoFnVD50jvxZKFA6F6d3XQKgcuNSGJkacnL7RQyNDajWoiz+h64SG/WW2u3cuXY2mMch4VTyKsNVv9s8f/wqTfYrhBBCiP+GHTvgxx9h3TqIiVGlWC1aqD/vMoJGjlTBobVrVcbQ9u3QqtWHgI+trZoYVqYMVKsGBw/C4cOqNMzaWgWKypWDadPUlC8fH9U7KCbmt/d14oTKKjIyUj2GLl1SGUn166v3hBB/TIJAQojvXsiV+7x6Gkn2/I5EvYohewFHntx9RsnqhbhwMAjbjOnIUSALl07cxLV8bvQNtASevQOAq5vL+3Xu3nwCgHNBxzTZl76BFtsMVrwKj/roeLY8mTExM+LW5Z/fHytVrSD3b4Xx4slrjM2MKFYpP+f3B5Kamop741KkJKdwds9lqrV0Q6uv5eCqU1RuWgaAk1supMl+hRBCCPHfMGEClC2rMm0ADAxUHx4jI9UMGlTT582bVU+ekiXVhK+FC1WGjr8/1Kv3IbsawMTkwzSw6tVV6Vj//iqA5OioGj7Hx0PBgr+9Lzs71WfowAHVU6hVK6hZU+0tKenrPQ8hvicSBBJCfPcu7LuCnlaPpIRkNBoN8XGJALhWyMul49cpW9uVsHsveP74NcXc8wIQ6HcHSxszsv/STBog9PpjrNNbYGNvmWZ7s81oxcvwyI+OabV6uLhm5dal+++PlahaAICLx24AUN6zKK/CI7lxIZRchZxwyJWBk9t+wtreitK1XDm6/ix2DjbkLZmT4xulJEwIIYQQf96bN5Aly8fHNBqwtFTNm9/Jnl1lBy1cqLJ8atdWxx0cPh73/s6tW+q9Hj1URtD69VC6tMoKattWBZIMDX97X82aqebTzZurLKUbN2DOHJUVtGyZ+imE+H0SBBJCfNdio95yfPN58pbMhd+uAHIWcuLc3itky+fAjZ9CSYhLomztIpzZcxmAYu75SE1NJfBMMIXLOqOn9+GvyfvBT8mWO1Oa7s/c0oSIF9GfHM9TNBs/3wojMUF9reXkkpEMjrYEnFCfqMrUdMXYzIgT235Co9Hg3qgkV/2CefU0kpptKhL1Kobzey9TuWlZfr7xmJDA+2m6byGEEEJ8v6pUgX37IC7uw7GgIAgPh9at1evRo1VfoIMHVXZQjhwQ8Ms8ijZtVP+gnTtVw+bERJg0SZWVVami+gv5+YG7O2zdCmFhKrvHy+v392VrqyaCpaZC9+4qm6hvXxWAypRJ/RRC/D4JAgkhvlspySmMb72A549ekZSYzNP7L7BztOXe9UfUalORJcM3k790LjI42bFpziFKVy9Exqx2BJ0N4dWzKMrVcv1oPev0FkT8aqT7l3r1LIrLfsEULJXzk/cMDLWkpqSi1aq/pjUaDS6uWXkY/BQAYzMjirrnI+DYdXQ6HRUblECn0+G35xJFK+cnQ1Y79q84SSWvMphaGLNp+t4027cQQgghvm+TJ4NWC5kzq2CLl5dq3OzuriaCHT2qysBu31aj30+cUKPeGzdWE8AcHFRfoaFDIX169efwYRXo0f4yW8PCAnr1UkGg+fNVQOnPMDFRzaqXLlVlYCEhqu9QjhxqlLwQ4vdJEEgI8d1aNHg9l45eI2+pXIRcuY+HT3kuHAiifpcqHNl4Hq2BlsGL2rNo2GY0Gg1dx6uvnw6uP4e5lSllPD4uSs9d2IkHd57xNiY+Tfa3fekpUpNTady58ifvxb6Jw8TMCK3+hylkDjntefrgJclJar5q8cr5ef74NY9CwnHKnZls+Rw4vSMAPT09arauSNDp20S9jMazc1X8dgbw8HZYmuxbCCGEEN83CwsIDYVatVSQxt9f9d8xN4e8eaFDB2jYUAV33mnYUGXqnD2rXt+7By9eqLIyKytVYvZuRPyXqFBBNaEuUUL1ItJq1Tj6Q4fAze3L1xfieydBICHEd2nXwiPsXnyU/GWcuXkhlKot3Di2+QL5SzuDnh4hQQ/oN6c1ty/d5+KxG7Qa4ol9FhteP4vi7IEgPJqWwtDY4KM1XQo7odPpCL3++Iv3d/bQVXauOE2l+sXI5GT7yfsxb+IwszT56JhDDntSU1IJf/gSgGKV8wMQcOw6ABUalODGhRCeP3qFh095tPpaDqw8ScPu1TE0MWDD1N1fvG8hhBBCfH9iYlRfn7ZtwddXNV+2tVV9d549U2Pe9+9XU7i2blXvLVqkSrp+zcJClZBdugSDB6vx7YGBalR8y5aqWfTy5Sqg1LcvXLv21/faqJEqB2vQQO1p0yY1jr5FC8iVKy2ehhDfNwkCCSG+K7Fv4pjZYzkLBq4lvaMtN/3vkrtETk7vCiC9gw05Cjmyc/ExPNu7o9PBjD6rcS7sRN12FQHYNO8IqSk6anmX+2Tt3IWdMDDUZ0KP1WxedOwvZwQlJiRxbHsAfRvOZlyXleTM70C30Q0/OS81NZW71x+Tzs78o+MZnewAePZIjXzP4GiLo3NGLp9UfYIqe5VGo9FwaK0fNhmsKFOnCIfX+mFsZkSdDpU5ueWCZAMJIYQQ4r2wMFXGlSeP6gFUrpzKqilWDM6c+XDesGGq8XK7dqoPT58+qgfPyJEfzrl2Tf1xc1Pn9u4Nzs4QHKyygDp3hrt3VbCpYkWVHVS1qion+ysMDVXWT8WKMH26KksbOPDD1DIhxO/T/19vQAgh0krgqVvM6LqU549fYW5txqunkTg4ZyL48n0Kubmg02jYs+wktdtUwCaTNePa/0ieYtkZubIzWn0twVcesGflGeq0csMhh/0n61vZmDNlY3fWzjrIisn72Lr4BBXquFKknAsW6UyxsjHHwtoUc0sT3kTE8uJpJC/DInnxNJKwBy85sy+INxGxOGRPT+eR9fFoUhJTc+NP7nN69xXu3XhC/1neHx3X0/4yZ1X34VjBsi6c3P4TKSmpZHSyo2jlfBxa60eLQZ7U71oNv50BHF1/Fq++tdm//CQrx2xj5PqeafrchRBCCPHvM3Om6q2TIQPo6amSr379VKlXxYrQrRtcvapGr1+/DjVqfLi2WTOVJXTkiAq+hIerwM/cuWBmBi9fqibQjo5qotjLl1CgAJiaqsCRp6dap0EDFQiqX1/1+vmzTE3VXvv1S9tnIsR/gQSBhBD/evFvE1g+cgu7Fh3B3NoMjUaDobEhevoGPH/8mhqtynPuQCAJcYl0n9qCO1cesnrSHirWL07fmd4YmRiSnJTC7EEbsMlgSeshdX7zXnmKZGXcqs4EBz5g/dwjnNx1mX1r/3gEu7GpIcUq5Ka2dzlcyzqj0Wg+e15ifBIrJu0hR34HKjcs/tF7qSkq+qOn/yGJs0BpZ/avOs39m0/IWdCRmq0qMK71QgKOXqekR0FyF8vBjvmHqdXOnca9arBmwk5uB9wlT/FPm1ELIYQQ4r8hIACmTVNBnurV1RSv6GhVatW5swroPHumMoOmTQM7O7hzR2UMARgYwA8/qBHtISEqq+fMmQ/vW1mp8e+XLqljr1+Di4vKMipT5sM+ChdWDZ0vXlS9foQQX58EgYQQ/2qBJ28yp89KnoQ+w9LOgujXsTjmdeDRnXAcnDNSOH9eDq47S86CjnQc05h10w9w/UIo3gNq06J/rffBmG2Lj/HzrTBGLO2AmcUffxWV2zUro5d1IDoylhdhkURFxBId8ZY3EbHEvInD0toUu4zpSJ8pHXaZ02FuafKbgZ934mITWDV5L88fv6bv9B4fjacHNe0MQPur4wXKqOL36xdCyFnQkVI1CpMuvQUHV5+mVPVCNOpZnQltFuK3M4CGPWuwe8kxlo/cwuR9g/9wP0IIIYT4Pm3YoII9WbKozJ3ISKhcWWXj7Nunyq3KlwcfH9XHp0UL6NhRXZcli2r63Ls3DB+u1vn/bt5UE8J691bj4B8/VkEmUFk87+h0KkBkYaFeJybC7Nmqz09yssoQGjBANaQWQqQNCQIJIf6Vgi/dY8WorVw5cQMjUyM0enokJ6ViaGbM49Bn5CmZk/u3w3h6/wW12lRAh4YRLRag1ddj8MK2uDco8X6tg+vPsWryPsrXcaVsjUJ/aR8W6cywSGf2Rb9L6LVHHFh3jhM7AoiLTaCCZxFcy7l8ct6Te2ruqZWdxftj9llssctsze2Ae9TrWBkDQ308WpRj67zDvHjymnL1ipMtnwMrRm+jTJ2itBxcjwUD13Jh/xXK1C76RfsWQgghxL9TfLwa/w4q0DN6tMrIefYMRoyALVtUZk7XripI8+CBel2okCrviomB/v0hZ07VL8jGRgWKMmVSaz57pvr09O+vJojZ2UG2bCqb6NIlFWACWLxYBZ5cXVVAqEkTFQiaPl31/pk9W2UqnToF+vJ/rkKkCflPSQjxr/IwOIxVY7bhtysAQ2MDNFotOo0GQzNj4t4m4pQ3My/CIrh96WdKVCuAmZU5Rzb/BDodHs3L0qx3ddI72KDT6bh38wlHNvmza/kpirvnZcAsn6+2b51Ox5uIWCKev+H18zdEPH/Dy/BIzu4PIuTqIwyNDKhQtwg1W5Ylb7Hsn13jxPaLOLlkwskl40fHcxZ05O61R+9f12pbkS1zDnFg1Wla/VCfDmObMrzRDPb+eBzPTpXZu+w4i4esp1iVAhgaG36131kIIYQQ36Y6dVSQpls39ScwUJVmJSerXkGmprB3rzq3cGHYvFmVc9nZqQyfAQNgxQpYu1YFbm7fhoIFVZ+g6tXV6Pbhw9V1tWqpdfz9VfCnWjV1zqNHKpi0Zw9oNHDunMogunlTlZsBlCqlStL27FH9g4QQX06CQEKIf4XYN3GsGb+dnQuPom+gRWtoQEoqmFiYEBebgINzel4/f8PDO+EUq1IACxtzzu4LRJeaikfzsjTtVZ0MjrY8e/yaTfMOc3x7AA/vhKNvoKVqk5L0nNQUQyODz947LjaBuzce8yD4KVGvYngTEUt0RCxvIt4SE/WWxIQkUpJTSU5MJikpheSkZJKTUkhOSiElKYXk5BRSklM/u3a2PJnpOrYxlRoUxyKd6WfPATUR7PqFUFoN8fykjCtXQScuHrlG/NsEjE2NyJg1PSWqFeTA6jM0H1CH4tUKUrRyftZN3k3V5mXpOtWboZ5TWD95N218G//9fylCCCGE+FeqUUOVXBUrBq1bQ8aMoNWq4Mv06SpIs2wZjBmjJojpdPD2LcyYARER4O2trgkKUhk7oDKKmjVTWUM+Pmr9K1dUxtHVqypjaOhQ2LFDvW9rq7KLtFp1/U8/Qc2aHwJAoBpW16mjAkgSBBIibUgQSAjxTUuMT+TQ6jOsm7yLyOdvMDQxJDE+CXMbc2Ki4jC1MkVjoOXJvecUKueCha0lF49dJzUllWpNy9Csdw1MLU04uz+Q49sDuHYhFID8JXPQY6IX5esUwdL643Ku6IhYzuwL5Pbl+9wJesijkHBSUz+M5DK1MMbS2gwLazPMrUxIZ2eOVl+LgYE++oZa9PW1aA1+/VMPrb4WS2szbDJYYp3eEht7S6ztLT87Hexz9q9Wc1or/aqM7Z2chRxJTdXx880n5C2eA4A67d0Z2XQOZ/dcxr1RSTqMa0r3cr6sn7KHzpOaU83bjU3T91K6VhHylJAm0UIIIcR/RVycyqwpWVJl5ly9qjJ/Tp2CJUtUEGjhQjh8GPLlU5O/0qVT5VxduqhMnSVL4P79jwM2FSqocjB/f5U9ZGGhyr82blTXrlihSr1OnIDGn/kOKkuWD9lHv3bzJpQt+5UehhD/QRIEEkJ8kxLjE9m95P/Yu+/oKspuj+PfmdOSk94hgYQSAqH33nsXQVQEBEUpIoq94KVYEMWC0psFld6RJkXpvfcaCEmAhPR62sz94wECUsQXBJTnsxYLc85kZnJ4F3fuZu/fXsPcUctITczAYDaBqqKrKhgMaIDRzUTyxXSKli0MKBzYdhqLu4kmnWvQ4YVGxBw7z4Sh89j5+xGcDhdhRYN49q02NO5YlZDCATe97nmlIT8AACAASURBVOYV+xnz3ixSkzLx9vegZMUI6rauQFTFCIpGh+Ib6IXJfH/+6szLtrFv03G2rNjHyumbadixGgUiAm84LrSoWGefFJdytQhUpUlZQosFM3/cbzToWI1iZQvTskd9Fk1cTYse9en3WVf2rTvC5y9OZNymj3DzsNyXn0mSJEmSpAdn1y6xnr18ebG+/ddfRUFm+HBRnImPF+vgk5LE8YGBIjh6yxZR5KlYUWz9KlBAdO7k5Ij3r3A4RHZPaChUrSpGyH74QYx7ZWVB8+bw3HPX39P+/eKcmZni2qNGQf/+ogto+nRYswbGjLlvH5Ek/efJIpAkSQ8VXdfZtHgXE96dTtK5ZAwmI4rBgMliwpbnwGK14HBp2PKcRJQO49L5dM4cPU+hyBC6v9MODx8rezce49W2X2LLcxBQwIf2zzeg4WOViSxX+JYbsTJSsxn/f3P5Y+EuipUJY+gPfShR/sbj0y5lEnv8PLHHLxB7/DwJMUnk5diw5zqw2xzY8hw47E5MJgNuVgsWdzNuVjMWdzNWb3e8fK14+lgvdxFZcXM3oxpVDEYVg8GAwahy7sQFdqw5xP7Nx3HYnLhZLbTsVoeXhj9103v3utzJlJmaffU1g0GlU//mjH7jZw5sPk75OiXpOaQTGxbuZPxbPzNiydu8Nak3b7cewaT3Z/DKNz3vzR+gJEmSJEkPJU0T41qjRsGTT4rXMjNFN1D//qIgNHiw2MS1fj1cuiS6d9q2Fdu9OnQQOT5nzoiC0MKFIkPoisWLxfmqXW5a/v57aNNGhEyXKgVr14pzeHjAgAGikKQoMHo09OoluoW8vODTT+Gjj8SYWHg4LFsGfn73+9OSpP8uWQSSJOmhcfpgLOPf+oX9G46K4o+qYvFwIzfbhtHdjM3pwunSiIguRPzpRM4cOU+lBqUoWDSYM0fP8/NXK9B1naBQP5o/XYu6rStQtmbxG1at/9mV7p+M1Gy6vdGKp15ujtEkBtR1XefwjtOsnrWVLSv2kZ6cdfX73D3dKFQsGKu3Ox5e7pgsJizuJowmA06HC1uunbwcO7ZcOymJ6Zw7eZHMtGyy03PRdf1WtwNAocgQ2vasT7UmZSlTo/gt84oAvP3F3tSM1KzrXm/apTbTPl3E3G9XUr5OSXwCvOg5uCNjXv+J9fO306BTDTq90pK53yynRquK1GhZ8bb3JEmSJEnSv9euXWJ8q3Pn/Ne8vMSI14AB8P770LCh2AaWkQEbNsDnn4s17wMGiO6e2FgR9DxrlugKKlNGrJCPi4OtW0Vh6ErGT+HCInB6/XrRYfT++yKE+sgR6NgRDhwQXUI//QRdu4rvefllMab27rvQoIEYEZMk6d6SRSBJkh642KMJ/Dx8AesX7kAxqCgGA0aLCbvNCQYVxWTAbncSXDiIpIRUkhJSqd68PJqms2fDcXZvPEGx0mE8M7AFNVuUo3iZQrfs+LmWpmmM+2AuS6dtpFiZMD7+5SWKlQ4DICk+hTVzt7N61lbiTyfiZrVQq1V5SlSIIDyqAOElCoAC545fEJ1AlzuA7HkOXE4XXr4e+If44Bfig3+IDx7e7lfvSdM0sjPyyEzLxpHnuBoc7XJpuBwuAgr6UvAmY1+3YzQZyM7Ive41i7uZ9r0b89PwRcQeSyC8ZCitnmvIimnrmTxoFtVbVKDH4E7sWn2Ar1/6jglbP8Y32PtvXVeSJEmSpIeHpsHSpeKX1SqKK1WqiPccDnBzE903V2zfDm+/Lb4vNlZk73TsKAo3oaGiQPPss6LYM3u2KCINGiQKRx9/DIcOiQ6fmjXFZjBPz+vvR1VFYQngs88gOBjmzs0f9Tp+HIYMgS5dxGvu7mJcbPPm/MKQJEn3liwCSZL0wCTGJfPTJwtY9ctG8USiqCgGIzoaGFQwqLh0sPp4kJOZh0vTKF+vFHGnEtny20E8faw0f7oGrbrWuVq8uVMul8aoN6ezes52OvZpzHPvtsNoMpCZms3kYfNZPWsruq5TrlYJnnqlBZUblubQthOc3BfLjlX7OXXgHOmXMu/4ehZ3E2HFQyhauhDFyhSiaNlCFCtdCN8iQX/3Y7vB2jlbcTpcVKwffcN7bXo2YOYXS1ky5Xf6j+yKwaDy0shuvN7sE6Z9soA+n3bhnal9GdBgGF+/PJWhswbeUQFNkiRJkqSHi6aJvJ8dOyAkRGzfmjFDdOAMGCAyei5cEB0+9eqJjpxWrUTos8MB334rtn/VqSM6dkaNApdLjH7Z7dCpE/zf/4lHtk2bRDdQ+/YiX+hOLFkCQ4eKYg+IgpS7u/jvw4ehbFnx35mZ4j1Jkv4ZsggkSdJ9l5GSxawvf2XhuFW4XBooKqrJiObSMLubycu1Y7SY0FUDDruLgkWDUYxGzh47T1rqaao2iqZJp2oUiQ7lzNELrPt1DzvXHSW8RAEiogoQUsjvtiNgLqeLL179mT8W7aL7m615ZmBLdF1n/aJdjB80m4zUbB7v05h2zzUgOyOXpT+sY9w708VYmslARKlQajQvR3hUKFZvN0wmI6pBxWhUUQ3il8liQjWoZKZkkXIxnUvn0zh34jx71h1hzeytV+8lKMyP0tUjKVOjONHVilOsTCEMRsMdf5Yul8bsb1dSvFxhqjQqfcP7vkHeNOhYjdUzN9Pzg8fx8LFSukYkbXo1YuG4VdR/vDrR1Yvz/IedmfjOdBZPXM1jfZv9vT9QSZIkSZIeuJEjYeVKePNNqFFDBCofOQIffABPPSW6cKZOFbk8BQpATAzYbGJbmM0G3t5QrpwYw9q/H4KCxPr4OnXEayaTKChNnSqKTYmJMHAgzJ8Pdev+9f25uUF2fnwhLVtC797574HIHJo0SeQLSZL0z5BFIEmS7huH3cmSyWuY9vF88rJsoCgoZiO6S8dsNZOXY0c1GzGhkJfnpFBUQVISM4k9lURIYX869G6EoqqcPX6BMYPnk5mWA4DBqOJyalevY3E3Ex4ZTMcXGtKwfeUb7uGzl39k07J9PPduO558uRlJ8SmMfW8W2347QIny4Qyd1o+zxxIY0XsyR3fFYHYzUf+xKkRWiMCeYyPmUDxHt59i9S+brlsd/2eKohBUyJ/QokEULBpMrZYV6Tf8aTx8rJw5HM+pg+c4tiuGQ1tPsG7BDgDcPCyUqBBBZLnCFC8fTulqxSlYNOiW3TkbF+8i/tRFBn3X55bHtO/dhNUzt7BqxmY69G0KwPPDOrN95T6+7v8dYzYOpUO/ZuxZe4hJ780gsmIRytQsccd/rpIkSZIkPRjbtonxKkWBKVPECNWIEeK9xx8XI10TJsDq1fDMM6I7KDJSFHmKFxeFnIIFRRFn1iwR+nz4sPj+Vq1E8LOXlygArVwpCj5Hj4K/vzhmxQpRYPrzuvibeeYZEfrctKkIh74yrjZunOhU8vYWa+mHDMkfYZMk6d5T/iqc9J9StWpVfefOnQ/k2pIk3V95OTZW/LCOmV/+SmpiBoqqil5gBYwWE06HCzcvd5EBBASG+XPpYgaqqlC5QTSBYX6cOBDHyYNxqKpCkZIFiSpfmBLlCxNVPpyIqALY8xzEnrzI2eMXOHP8PIu+30BwmB8/bvy/q/eRlJDKp/2+58iuM7w4uAOPv9iIhZPW8uOIJYBO97fbERzmx9Rh87hw9hLhUQWp36Eqedk2fp+zleTzaQAEhflTrFxhgsL8sLiJIGjVaBDdQAYVxaBiNBnJyczl/JkkzsckEX/q4tXtXWGRIdRoUZ4aLSpQpmYkRpORxLhkDm8/xeHtpzi+5wwxh+Ow5TrE51HQl+Llw7F6uWP1dMPd04K7pxtxJy6wbuFOChUPYfyGIRgMt+5+Gth8ODkZuUzc8uHVYtHOVQf4oNNXPPN2e5794HEyU7MZUH8I9jwH4zZ/hG+QzAeS7o6iKLt0Xa/6oO9Dup58BpOk/4bBg0Wwcq9eYlxr+HAx5rV+ff4x586JYs+cOZCeLgKXrVYRDn3sGCxYILZ4desGYWEwb54oHqWkiI1h3t4i66dt2/zNX/37X38fNWqIazdpcvv71TSRJbRkCbRoASdPwvnz4ponToh18y1aiC4lSZLuzu2ewWQRSJKkf0x2Ri5LJq1m7jfLyUzLEcUHgwEUxPiXpmPxsGDPc2J2N2O2WshKz8XL10qpqkXJzrJxZPdZdF2nRPnCNGpfmQbtKuH/F+HFq+ft4Ms3Z/Dqp0/S8umaAMSfTuSdJ0eTk5XHwJFdqFSvFF8PnMaWFfup3qws7Z9vwJzRK9m7/igRpUJp+Hg1ju06zfaV+9F1qNigFIVLFMCWa+fc0QROHYjFlmO/7X14+LgTWSGCyAoRFK8QQYEiQZzcG8u23/axf8MxHHYnPoFeNHqiBk271Kb4NSvsXU4X505e5NCWE+zbeIxzJy+Qm5VHblYeOVl5YnW8h4XWz9bniZeb4x/ic9t7WTLld8a+9QsTNg2jyDX5SZ+/OIn187czZuMwikSHcXLfWQY2/ojy9Urx8fzX/3KzmiTdjiwCPZzkM5gk/fsdPAjNmokNW4GBogjk4yN+X7FCvAci5+f118W696goMSLWu7dYwV6yJBQtChYLvPCCCIEOCBBjYn5+kJQkzpGRIfKEwsNFgHOvXtffS8OGorjUsuWd3fvhwyL4uUABUfT5qw4iSZL+PlkEkiTpvtJ1nbWzNjPp3RmkJWehqAqoovijmAzoGrh7uZOXY8fdyx0NsOU6CCsejHeAF6eOJGDPc1AwIoDGHarQsF1lChUPvqNrZ2fk8mKTEQQX8uOrea+gqqooAHUejcPhZMTMl3E6XAx/cTJJCal0e6stl+KTWfbDeqze7jTrUpsDG49xcu9ZfIO8KF+nJDmZOez9/bDoWPKwUKhEAfyCfTCaDNhtDowmAyaTEaPZgNFsxGAQv+dl5xF34iKnD8bisDlRVYXy9UpR7/FqVGlSlpP7Y/lj7na2rdiHw+6kSHQYTZ6uRePONQko6Hvbn9PpEF1TRtOdTfWmJqbTNfpNnnq9DT0Gdbj6etqlDHpXHURYZAhf/vY+qqry65S1jB74I88NfYKn32x3R+eXpJuRRaCHk3wGk6R/vxEjRMjzqFHi60OHRE7PmTPi67JlReDz1q2iwNOjB/TrBxs3QuPGYl28wSDGvSIiRO7PkiXi2LVrRRFo9WpIS4NvvoHvvhN5Pt7eoohzJcNnzx4x3nXunOgwOnZMrIOvWDF/ZEySpPtPFoEkSbpvDm09wZRBMzm87SSKwXB1BYRiMqDrYPFww57nwNPPE7vdid3mpFCJAmSk55KRmo2ntzv12lakVKUipCRlknwxg4zUbNIv/8rJzKNCrUj6vN8WDy/3G64/YdgCFv+4kVELBxJVvjBnjibwQdfxOBxOPp3ZnwObTzDlwwX4BXnx1IAWzPx6Kcnn02jcuQZ5WTY2Lt6FX7A3UZWKcHJPDMnn0/Dy8yAssgCZKZlcOJOE0+ECQFUVggoHAGDPdWC3ObDn2nHYnVfvJzDMn5JVihFaLBjNpbFt5X7iT14QBaH60bToXo9KjcqwafEuVs/cwpEdp1BVhUqNStO6ZwNqtqp42zGvv+Pdx74gKT6VKTs+vi4/aPWMzXzRZzIvfdGN9r2boOs6n/Ycz4YF2/l82buUq1vqnlxfevTIItDDST6DSdK/39dfi9DnSZNE507NmqLjZ/RoMcqlKKIrqEcPmDgRTp2CRo1EscflgtOnRZHm7FnxnpeX2CT2xx/iHEuXinPWqSPCos1mUXTavFk82r3+Oly8KNa8T5ggzt2liyhGXckceu21/G1ikiTdX7IIJEnSP27374f4fuhcju+OEQUGVQX18u+KgsFsQnNpWDzdsdkcKIpCYKEAUpIycDk1KtWNokLtEqSn5bBl1WEuxKUA4Onjjo+/Bz5+nvj4WcnKzOPA9tN89nMfylcvdvX6uq4zY/Qqfvp6Be2616HfsI6smr2NcYPmYPVy4+3RzzLjq2Xs33yCyg2iCQjx4rfpmwkJD6Bs9UjWLxTBzFEVIzixJwanzUlkxQjQ4fieM+iaRvm6pShZrRhFSheiSOlCFI4qiMXdfMNnYbc5OL0/liPbT3F0x0mObD/FxdhLmMxGGjxRg+otKhBzKI5187ZzPiaRsOIhPPVGGxo/VYsLZy+xZtZW1szcTGJcCmHFQ+jYvzlNn65102v9HXNHr2TK4DnMOT0KLz/P6z67QR2+5PieGKbuGYFPgBfZGbm8XG8IDpuD8Vs+xsvP466uLT2aZBHo4SSfwSTp3y8uDipUEOveJ08WnTnduolMoEWLRMGmVy9RiAFo00Z0Ah05Ijp+pkwR33vxoigG2WziV/nyotNnzRrYvVsUgyZPhurVYfZsMVJWpIgo+ISHi2DnIkVEjlBEBHzxBRiN4vrNmsGgQfD00w/yk5KkR5MsAkmS9I85H5PImDd+YueqA9cVfxSDio6Cajaia+Dm6UZergOLhwU3TzfSU7Kxelqo0jAai9XC/m2nSUxIw2gyULFWJHVblqNWk9J4/6n4MGfyH3w3cjmztg2++p6u6/wwcimzx6+lSceqvPxRJ8Z9MJdVs7dRoU4ULZ+uyYQPZpOXY6fFM7XZuHgnKRfSqdakDMd3x5B+KYsSlSI4f/I8mak5RFaIIC0pnaS4FHwCvWjxbH1aP9eQgkXvbCTtZs4eiWfJ5DWs+mUjedk2ytaOEqvYFZj11VJO7YslODyAp15rQ7NudTEYVDYt2c2c0Ss5secMPoFetO7ZgLbPN/zLUbFbWTNrCyP7TmXqzk8IKx5y/f0djadfrcG06F6PV7/tCcCxXad5rcnH1GxVkf+bPuCW28ck6VZkEejhJJ/BJOm/4Zdf4OWXRaZOyZIiJ2jcOFGgmTVLFIXatoXoaNENlJkJDrFzAl9fMQrWsKEIki5VSmwaA1Ek6tFDjH5FRIii0KuvilXzIFbMd+sGTzwhvk5MFNePjxcjYVfMny/uZ/Xq+/aRSJJ02e2eweSKeEmS/ie5WXlM/3wx875dgabpYvRLUVDMIvNHMRtBA7O7G7Y8ByZ3C4rFTG62jQBfK0XLFubc6SQ2rDyE0WSgcp0SdHulOTWbROPlY73ldU8eiic4zO+6AtDkTxazYOo6Wj9Ti55vt+bDXlPYs+EYXV5pjtPu5LN+3xEeVYBSlQJYNHE1hSJDKF21KNtX7qdgkSCMqsLxHacoVKIAqkHlxJ4YSteM5IWPnqJ2+yqYLXefWBgRHcbLXz1Lz8GdWPnTBhZNWMUnz44ltHgIXd5uh7e/JzO/WMro16YxY+QSnnytNS17NKBeh6rs33iM+eNWMfPLpcwetZz6HarSoW8TSlYp9tcXvoZPgBcA6clZNxSBIkqF0aFfM+aPWUmzrnUpXSOSklWK0eujJ5n03gzmfrOczgNb3/XnIEmSJEnS/2bvXrHNy2gU2726dhVhzJ06QVAQLFwogp3T08UWLg8PGDMG1q0Tr1utkJAgCjpr14osny++EKvgDx3Kv067dmJbV9euoOsiV6h4cfGeroutXgUL5h+fliaKStY/Pb4VKgTJyf/85yJJ0t8ji0CSJP0ttlw7S7/7nekjFomNX6oKBsPVzB/FaAJNx+RmwW5z4u5jxaXmkZmZR3jJguTmOkg4l0bSxSyq1oui7lvlqdGo1E3zff4sOyuP/dtOU7pyBCAKQNO//Y0FU9fRvkdd2nStzbudx3Dm2Hl6vtOW7b/t5/CO09RoVpbYowls/20/lepHc3jbCRLPXiKiZEHOHo4jMMwPn0BPzh1LILp6cd6Z2pdKDUv/I50vnr4edBrQkg4vNWfzkl3M+HwxX/aZQmjxEHoPfxo3Dzd+GbGIcW/9wqyvltJjcCeadqlNhXqlSIhJZPGktfz2y0Z+n7uNqMpFaPREDeo9VpXAUL+/vPaVMOmM5Mybvt/tvcfEprDXpzFmw1BUVaXjyy04su0k3w2eTamqxWQ+kCRJkiT9AzZtEvk+iYmiO6dPH1FYuWLwYBHO3L07ZGWJsa/nnoOOHUU+UPPmIn9n3TpRwAFxnrAwER49erToFHrzTdixA4YMEeNiQUFi7Csl5fr7CQgQgdB164oOn+LFRRfRlXGv2rXzjy1eXKx/37IFatXKf/2XX0QItSRJDxc5DiZJ0h3Jy7GxdOpapn+2mKz03Muhz/mZP4rRAIqav/3L253cHDsmi4nAMH8uXUzHYXcRVa4Q7brVpnazsui6zoX4VC7Ep6KqCjUalLzlSvLszFw+6PUdJw7GMXRCT8pUKcJXb81k4/J9NO5QhcjSofww4lfcrGZqtyzHmtlbMbuZiCxbiL3rjuAX5I3RpJJ0LoXQokEkxiahKCpWLzfSEtMpUakIz37QkWrNy9/XsSdd19mydA/fD5lD7LEEqresQN/PnuFSfCrfD53L0Z2nKVW1GP0+70rJqqLzJzsjl1UzNrHql02cOnAORVEoW6sE9R+vRp12lW+6Ln79gh18+fL3ePl68O3aD265Uv73OVv5rNdE3vu+Lw061QAgJ1PkA9lyHUzYKvOBpDsnx8EeTvIZTJIePIdDFGW8vUXhZvBgePttka8za5bYurVpk9jStWeP6M7Zu1esg9+/X4xinTolxrDS06FyZZHj43SKIo2Hh3hEmzMHnnxSbAP7+Wf48EMx6jVjhujg8fMTmT1Ll4qQ6D9buhReekkEQ2dkiNGyadNEHtC15s2D/v3hjTfEaNmiRaLb6MoqeEmS7i+ZCSRJ0v8sL9vGkilrmDnyV7LSc/KLPwZVFH2MBkARe0ZVBYvVgi3PgZe/JyY3MylJmbh7WKjbqjxFShXgfFwqRw/EcSEuhcz03Ouu9eKbrej0bJ0b7iErI5dBz03h9NHzvDeqK0VKBPNhn+85d/IiXQY049DWk+zdeJzytUpgz8nj6K4YSlQMJ/HsJdKTMylULJhzx87jG+SF5nSScSkL3yBvUi+mERYZwvPDnqRO+yoPNPPG6XCycPwqfh6+EKfDReeBren8Wis2L9nD1MGzSb2YToOO1ekxuBOhxfKzic6duMD6BTtYt2AHsUcTAPAJ9CKseAiFIkMIKx5CamIGCyespnT14nww7aVbFoAAXC6NfrX+D3QYv/Wjq5vJruQD1W5XmUHT+st8IOmOyCLQ3VMUpSXwDWAApui6PuJP778OvAA4gSTgeV3Xb/L/yuWTz2CS9GDNny+yfPz8xLhUcjIsXy7Gs6549lkRwvzBB6Jrx26HTz8VuT7FionCTlycePyy22HZMnHe5s3F18WLi6LMzp3imMaNRTdQnTqiMNSypSguffYZvPgiVKoksoFuxuUSgdJeXiIj6FZ27RKbwuLjRUdQv36iaCVJ0v0ni0CSJP1tuq6zdtZmJr4zg/SUrMtjX+rl4GcV1WhA50oHkILBYsLpcBEQ5k9WZh62XAeFigURWjyY9PRcjh+KF9vB3ExEVyhMWHggBQr5USDMjwKF/Jkx6Xe2rz/OqF/6EBkdevU+MtNyGPT8FGKOXWDQ6G4YVIXPX/0ZRVXo9moL5oxdRUZKNnXbVGDz0j0oQHhUAY7uOEVgQV+yUrNx2p0EFvTlQkwinr5WMlOy8Anwotv7HWj9fEOMpodnMvZSQgpTPpjN77O3EFw4gD4jnqFSo9LMH72SuaNX4HK4aP18I555px2+gd7Xfe+Zw/HsXHOQ+FMXiTt5gbiTF0m9mA5Aqx716fdZlzvKN1o/fzvDe47nnal9aNS55tXXZ335K98NmcPr43vRonv9e/uDS/9Jsgh0dxRFMQDHgWZAHLAD6KLr+uFrjmkEbNN1PUdRlH5AQ13Xn7rdeeUzmCQ9OIcOiYLM4sVQowZs3AhPPSXGsvbsyV+nvnKlKNCsXSu6dzIy4JlnRJHH6YSqVUXnT3i4KPa8/z54eoouofBw0cHzzDPi2JYtRZZQs2aik2fePFGoCQ2F7Gzo2RN+/FF0JoWG3vb2JUn6l5BFIEmS7pjD7uSPuVuZOfJX4k5eyO/8UUS3z5XOH8UkikAGswmXS8MnyJv01BxUo0pkucLYnS5iTlxEURRKlAmlcs1IKtUqTnSFcMzmG4suCeeS6dV2FBWqFWXElOcBEQL92eszuBCXwvvfdOXE/lhmjV1NRMmCVKhejF+nbcA3wIvAEC+O7oyhcIkQ0pMyyEzJwjfQi5TzaQQX9ic5PgVVVdBcGooCHQe05KnX2uBxmwDqB+3AxqOMfeMnYg7FUaNVRbGxS1H4ZcQiVvy4HjcPCz0+6EibXrcvYmVn5JKZlk2B8Dv/pzhN03ip9mB0HSZs/ehq14/LpfFu2884vjuGSTuGE/I3zik9mmQR6O4oilILGKrreovLX78HoOv6p7c4vhIwRtf1G1sqryGfwSTpwXntNfDxgaFDxdcnTkCDBiL/Z+rU/EydKVNEIWjOHNGF07ChGMlq3Vp0+pw4ITpvgoLg++/hscdE90/58vDTT+IckyaJPKAXXxQdPDNmiI6j4sXF9SMjxeve3tCihQiMbi13QEjSf4LcDiZJ0l/Ky7GxcNxvzP1mBZlp2SiqimIy5hd/LgdAo4ruHx0FxWDAZLXgzHWgqyqRFcOJi03m2JEEwiIC6TWwBc0eq4RvgOdtr52cmMHQV37BYFBp82R1AJbN3Ma4Dxfi6+/Jqx91ZObo3zi+/xzVGpbiwplLLJzyB8WiQzl3PIGs5AxCiwQSeyQeb38PNIcLe44dDy8LiWeSsLibycvOo37H6rzw8VP/iuJFubqlGLvpQxZNWMUPw+bxQpX3eH5oZ/p/2Z0O/Zox/u1fGP/2Lywcv4oe/9eR+h2r3TRPycPbHQ/vvw7dvpaqqjzWrxnfDPiBYztPU6qaWAliMKi8OfFFXqz6HmNem8aHc1+TY2GS9M8KA85d83UcUOM2x/cClt/sDUVRegO9AcL/HOYhSdJ9c+GCyO+5okQJMfaVkCC6cwDOnIHhw2H8ePF1dLQY/xo/XoyOW3bh+gAAIABJREFULV0KeXmi+JOWJgKY/fxEt9CiRSKkedUqGDYMfvhBdACBCJF+9VVx7OOP59/DlXEv+VeDJD0abp7AKknSI0PXdTYs3EGPMm/y/bB5ZGXkohiNYDSA0YhiNqNazGAyYnAzg9GIwd2Cwc2Cpqr4FvAlKCKA9GwbsWcuUadpGb744QW+/rk3ZasVJfFiBrfrOMzLtTP0lZ9JTEjjkwk9qN04mvEfLWL04PlUrBVJhx61GTNoDudjk6ndtAw7Vx8iMzWbkFBfTh+IJaSQP/YcG5fik7FYjGSmZOMb6EVWSiaa04WuaYQWC2bk8vcYNK3/v6IAdIXBaKDjyy0Zv+UjSlYpxpjXpzGw8YfYcu0MX/gmw2YPxGI1M+L5CQyoP4ydqw7c9rP+O+o/Xh2Lu5mVP2+47vWQ8ECeG9KZ7Sv38duf3pMk6cFRFKUbUBUYebP3dV2fpOt6VV3XqwYFBd3fm5Mk6ar69UV3z7X/53rMGDh9WhRo6tYV+TyvvCK6c65o2RJq1oRGjcTvigK5ueL7li0ThaLOncV4l8kkQqbHjs0vAF3Rt694fcUKcQ+ZmTBwoChElS17fz4DSZIeLDkOJkmPsJiD5/h24I8c3nZSdPqo6uXQZ4MYAzOIvB+T1YzD7sJkteBw6hhMBgLCfElKzERzaUSVDSM8qiC6AhcS0jh3Npm0lOyr1wkvGkjL9pV47MnqmEyGq6+7XBoj3pnNxlWHGPJNV8pUDGfE69PZvfEEbbrUJPHcJXb8foTSVYqQnZbN2aPnCS8RQuzRBLz9rBgUhZSLaXj5WslMzsInwJP0xHQsVjO2bBuevlaeG9qZlj0bXA04/rfSdZ0/5mxl4rszSL+UQfu+zejxfx1x87Dwx5xtTPtkARfOJFGuTkmeeKUl1VqUv+WmtTs1svdktizbw/TjX+NmtVx9XdM03mn9GSf3n2Xi9k8ILhRwtz+e9B8lx8Huzp2OgymK0hQYDTTQdT3xr84rn8Ek6d7TdbHVa/JksW69YUNRiClY8PrjsrNFoSc6Gp5/HpKS4JNPoEMH6NJFrIivUkWEMEN+RlBGhtgctmWLKNg0aSIKQOnpYhRs7FixMr5oUXE+423mPVatEgWn5GTRUdSypegy8vf/Jz4ZSZIeBJkJJEnSdQ5tPcG4N3/m5L6zNy/+XA6BVkxGdB2MbmYcTg2jmwmLp4XsLBs+flbK14jErmns2RFDXq4DL293wosGUjgikEIRARQuEkBaSg6zftxIQlwqgz7pRINmZQC4dDGDke/PYd+OGHq91oICBX0Y/+EiMtNzafJYJbas3E9ulo2yVYuwf/MJzBYjRoNCVko2wYX8uBCTiNXTjZyMXNzcTdhz7SiIhyXN5eKxvs145p3H/nPrzLPSsvl+6FyWTv2d4MIB9BvZlVptKuOwO1n+wzpmf7WUSwmpFCkdxlOvt6F+x+oYjIa/PvFNbP51Nx8+M5ovVrxH2dpR1713PiaRvjU/oHKjMgyZ+eq9+NGk/yBZBLo7iqIYEcHQTYB4RDD0M7quH7rmmErAXKClrusn7uS88hlMku69jz4SRaAPP4TChWH6dFi4ELZvF7k910pPz+/G8fYWwcydOolnmBMn4K23RHePmxt07SpyhKxWWL0a3n0X+vQRIdDDhong5/r14fhxKFNGdBlZ7yDyUNfF+Jmnp8gjkiTpv0UWgSRJAuDc8fOMeX0ae9cduTHw2WC4vP3LIEbBFAWjxYTDpeHm5Y7DpeF0aURGhxJU2J+Txy+SeCEdq4eFBk1L06xNBcpUKHxDRkzixXT6dZ1EcAEfvpn6PGaLkS2/H+GrwfNx2F08P7AZh7adZv2y/USUCMHD3cThXTGEFgkkJy2btKRM/IO9SElIxTfQk8yULPHkooPL4cRoUHHY7FjcRO5PnXZV6PXRk4RFFnhAn/L9cWjLcUYN+J7YownUaFWRl0Z2o0CRIJwOJ+vmbWf218s4eySegkWC6Pxaaxo/WQs3D8tfn/gaS7/7ndEDp/HjwZE3HaObMXIJPwyby2dL36Vig+h79aNJ/yGyCHT3FEVpDYxCrIj/Ttf1TxRF+RDYqev6YkVRVgPlgPOXvyVW1/X2tzunfAaTpHsjN1ds8PrlF9GV06sXjBiR31Hz4ouiyPPEE1Cy5F932qSkiGDnV18V69X37hXfm5wscnzCw0WBaPt2sRnsxAmRL3TmjBgBW71arI+XJEmSRSBJesQlX0jju8FzWDNz8+WiT/6q96tjX1deMxhQzUZcmo6Hr5XsHDsmNxPhJULIzLZzISENVVWoVK0ozdtWpHaDkljcbr523Ol08WbfH4k5mci4aS8SWtif779dxeyp64mMDqVzzzp8P3I5SefTqVwnkv2bjqMoEFrYn5hD8fj4e5KVkonBqKIqkJuZi7uHhdyMXExmI45cG24eFnIzc4msGEGfT5+hfL1S9/nTfXCcDicLxv3Gz8MXork0nn6zHZ0HtsLsZkbTNLYt38uMkb9yfHcMVm93GnWuSctn6xNZMeKOAp0nvjuDZT/8wYKE8TcdLbPn2XmhyntYvdwZu+nDf/3InXTvySLQw0k+g0nS3dN1aNNGdOu0aCE2cVWtClu3iiKNpon3N2wQhZpjx6BfbxefjDBwq2ntr7+G3bvFdi+bTYyMvfKK6Br68Uc4dUoUgUaMgC+/hD/+gIAAcS9ffw2zZ4vrS5IkySKQJD2iUi6mMX/0CuaPXYWm6TeOfRkNoKhgFMUgXTWAQcHdx0p2tg1PPytmqxvJyVkoCpSvXIQGTUtTp1E0fv5/PWY1ZfRqZv+0mfc+7kjNuiUYO/xXVi/eQ4vHqxDgZ2XWxD/wD/LCx8eNUwfjCI8M4WJsEprDhcViIis1Cw9vN7JSsvDwdic7NRujyYAzz46b1UxuVh6FShSg+6Bbb8d6FCTFpzDx3elsWLCDgsWC6fXhk9R9rCqKoqDrOoe2nGDFj+vYsHAntlw7xcoVplXPhlRpUpaCRYNuKAjpus7ZI/F80XcKuq4zdsOwW157w4IdfNx9DK9805M2vRr90z+q9C8ji0APJ/kMJkl3b/NmMcZ1+LDoAmrYUHTktGolsn62bRNFmooVYdon58gZPorEH5axfMQ++r1qvuk5+/QRx/frB/PmieLP2rXQo4c4/3PPifGw/fvFWFjXrvnf63KJde9r1oiuI0mSHm1yRbwkPUJ0XWff+qPMGbWUXWsOoSsKikEFk+FPY1/q1Q4g/fI6eIPZgMOlY7BaMBsNZOY6KRpm5enn6lKtdgkupWRy9HACY8esol79kjRoePMRoLw8B2NHLmflkr00bV0eT3czfTqOJjEhjUaty3Ng03HOx6YQERlM3MkLZCap+Ad4iBXvvlYy0nMw6Dq604nT5gBNIzcjFzQNFRVd0/Dy86DfyK407VLnf868+a8ICvPng59eZteaA0x8dwYfdxtDuTol6ft5VyIrRFC2dhRla0fR97Ou/DF3K8t/XMfYN34CwMPHnWLlwoksH0FE6TDOHIpj6/K9XDiTBECXt9rd9tp1O1SldM1IZn6xhJY96j/yfxaSJEnSo2H3bmjaVAQwR0VBuXLw5ptie9fOnfDdd1DZfJC+eSNxhE/HipMiwM4Rq+HV1jc9Z+nSonOoXz+IixMZPy4XbNoE/fuLY8qUEccE/Gkng8EgRsYyM//RH1uSpP8A2QkkSf8Ruq6zdtZmvh86j6T4lPzAZ6Ph+rGvK68ZDOiqgtHdjMOloZqNePl7kpaWg8lkoGb9khQtGUJSchaHD8dzJiZJdBMBJpOB4BAffvypzw1dJPHnUvjo3TmcPnGRJ7rWJDk+lXUrDhAWEUDBEB92rT+Gf7AXLpuD9EuZBAR5kZyQioeXGzkZOaiKgsvuwGBQ0TUXLqcGLg1VFa97+XnQ5e32tOvdBLPl5mNojzKX08XyH9Yx7aP5ZKRk0bx7PXoO6YR/SH7qo67rxBw8x7FdMZzad5aT+84ScygOW64ds5uJig1KU7N1RWq0rEBAQb+/vObmJbsY1uVbBk3rT/2O1f/JH0/6l5GdQA8n+QwmSXfv119h+HDREQQiz+eFF+DXJTrNLevolz2SNiwDQFdVcto+yUSvt3hzemWOH4fIyBvPmZYmMoF694Zq1cQ699q1xcaw334TY1916ojvzcsT419XHsO2bYPHH4ezZ0U+kCRJj7a7HgdTFKUl8A0ilHCKrusj/vT+68ALgBNIAp7Xdf3s7c4pH0Ak6d45dSCWr/pNzd/2dU2nz9XijzG/AKSrKkZ3Efps9bbiUhRy8xwEBHsRVjyIzGwbp09dRNfBajVTukwYpaJDKVUqlFLRoWzaeJyvv1zOpCm9KB4ZcvU+Nv1xlJHDFmEwqDzdvTYLpm0kIzWHGvWjOLD5JDmZeQQX9OF8TCLevlYyU7IwGQ2ga9hzbagKaE7X5UKQU3zt0tA1DU8fdzoPbE37Pk2xerk/wE/73yErLZvpny9m0fhVmCwmHuvbjI4vt8An0Oumx7ucLs7HJBEY6ve3A6RdLo1eFd/GN8ibr9f83x3lDUmPBlkEejjJZzBJuntOpyjYPPWUyOkxKU7WDZhL4I9fUNG5C4Ac3OH5XgzLfJ2JvxXFZBLFogIFxNhYy5b5W8GuiIkRo15LlohrhIbChAng4wPffAOxsWJzWLNmohvoySfF90ycKH49/vgD+kAkSXqo3FURSFEUA2I9aTMgDrGetIuu64evOaYRsE3X9RxFUfoBDXVdf+p255UPIJJ0d3Rd58CmY8z8Ygm71x4S2T5Xij9G4+ViUH7xRzEZ0RQFg7sJp6bj6e9JZpYNxaBQuHgQmXl2Ll3KQlUVSpcOo0rVolSuUoRS0aEY/zTic+RwPC+/9CPP9qhLj+fqk5Nt4/txa1k0ZweRJQtQOrogy+bsIDDYmwA/K0d3nyWogA/pl9LRnBoqOvY8Bx5WM9lp2RhNKo5cO0ajitPmRFUVNIcTXdexernx5GtteKyvLP78L+JPXuD7YXPZuHAnFquZDv2a8+RrrfHwuYP9sX/DkklrGPP6NL5aNYgytaL++hukR4IsAj2c5DOYJN0bcXHwxosZFFk7lf6OUYTrseKNoCA2V+pPp7X9Ca8ciJubCIeePFk8mmVmit9dLggMhAULRIfPn9nt8O23YvW8wyEKPG+8Ida65+aKrWTr10NwsNhMFi0XdUqSdNndFoFqAUN1XW9x+ev3AHRd//QWx1cCxui6fpO/yvLJBxBJ+t/t33iML/tO5kJscv7Yl+HmnT+6wQBGFd0gjjFaLdgdLrz9rfgGe3EuPhWXS6Ns2UK0bV+J2nWi8LhNJ8i2baf45MOFAAwa3AHFqfHNiKVcSsygSvVinD0ST3JiJoUjAog/mYjZZMBsUslMycLNzUReZi6e3u5kpWRiNBlw5NkxGFRcNgdGk4ozzwHoWNxNPPlaWzq81BwPb1n8uVtnj8Qz/bNF/DF3G17+HnR5qz1tX2iMxf3m4ZR/V0ZKFp3D+9P70y50GtDynpxT+veTRaCHk3wGk6Tr6Trk5IC7Ozfd3BUTAx98ACtXgtkMHTrAqNdjMU/4VlR2MjLEgVFRokrTvTsJqe6ULCm2fFWvDiVKwKJFoqPH6YSiRcVIWVSUGO3avVuud5ck6d6522DoMODcNV/HATVuc3wvYPktbqQ30BsgPDz8Di4tSdK14k9d5KuXpnJwywkUg+juwWAQhSDjlVXvBlH4MahgNqIrCqqbCR3QAL9QH7JtDtIycnGl5dDh8Sq0bluRIkWCbnttXdeZP3cHE8avoVixYN58uzVzf9rC7ysPElrIjxLFgti97ihBId54mA3En7iIr5+V1AtpKO4mcLpQXCq4XORl5qC7XLh0TfwzGDq4XLg0F6oK7V5sSpe32+Mb5H0/PtZHQkR0GO/98BKdX2vDd0PmMOm9Gcz64lfa92lCu95Nbzkmdqe8/Dywertz8eyle3THkiRJkvTPmz9fFHhiYsDbW6xkf++9/GJQXJwo4uTmQpMmUFXbTvSkr1DHzwVc4qAGDeC116Bdu6vfWMAiun82bxZFI4B9+8SvBQvg7bfF9fr1g+XLxcjX55/f/59fkqRHzz3dDqYoSjegKtDgZu/ruj4JmATiX6Hu5bUl6b8sIyWLyYNmsmr6JlCuKf78OejZaASDiupmxKWD0d2C3aVh9DDj7mkhPSOXxJQsypQvTGABb7y83UnOzOXbSWtJSc0mK9tGiyZleLZLbSzm/L8eHA4Xo79ZydJf91Kvfklq14jkvf4/k5Nto2r1ohzcfpo0BQL9PUg6m4x/oCc5tkyyU0WRx5Grg9OJLUcTG79cgMuFringdOHSRO5P/U7V6TnkCUKLhdz6w5DuSmSFCIYvfJMDm44xZ9Qyfhq+kNlfL6N5t3p0HNDif/7sFUUhJDyQi7FJ9/iOJUmSJOmfsWoVDBgAP/0ktnqdOCHWu9vtMGyYOObbb8GiOpjfcz71do2CrVsBcGBkd/QzVP7pdahS5brzZmVB69aiQUhVRVHJ6RRjXDVrwoEDUKuWODYtDcLDRRFKkiTpfriTIlA8UPiarwtdfu06iqI0BQYBDXRdt92b25OkR5fLpbF77UHmfrOcfRuPidRAk+n6TV8Gkf+jGy+PgplF7g/uZjRNQ/Eyo7g08lwaEWG+VKpVnHPnU9l9LB6OxePuZsLP1wN/Pw8Khflx6nQSP8/aisPh4qUXGgGwb+9Zxo5exalTiTzWoQrpFzL4YtgiwosE4udpYff6YwQEepIcl4rRqWFWIe1iGgYF7Dk2cLrQNRdoLjSXE1waOnr+7+jU71CNp95oS/FyskPwfilXpyTl6pTk7JF45o1ewYof17F06lqqNi9Po841qdWmMu6ebn/rnFYvN5LPp/1DdyxJkiRJ99YXX4jum8aNxddRUTB9OlSqJAo3btnJFJk1ha1JYyg0Nk4c5OcHL75Iq4Uvc8ZemJNVbjzvp59CWBj88YfI7Rk0CKpWhcWLYdcuOH5crH0/ckQUoBo3hgoV7tuPLUnSI+5OikA7gBKKohRFFH+eBp659oDLOUATgZa6rife87uUpEdI7LEElkxazarpm8jNtouCj9F4Q9izfvV3FUyiKKQZVTSDgsnLgmZzgFGhcrViqGYjO/ee4dDZJIpGBPLSC41oXL8UQdeMAC1evpcNm09QJDyAlk3LkptrZ/LE31m0cBfBwd40qFuSlXN3oigKhQv5ce5oAh4eFgyaTtqFdCwmleyUTExGFd3mQENH0TXQNDSHhu7S4HLxR1EVdF2jWde6PPN2ewoWDX5wH/gjLiI6jNfH9aLH4E4smrCKtTM3s33FPizuZmq2rkTDzjWp0qTsbbODdF1n7x+HObTlBN3f73Af716SJEmS/jd79sCOHaKJJz5eFG1AdOVUVPfjfH40LPiZl/LyANCjSqK8NhC6dydX9WDnRChc+ObnnjtXhDmrKnTvLraBffMNaJoIeLbb4bnnREdQkyawZQuMHXuffnBJkh55f1kE0nXdqSjKy8BKxIr473RdP6QoyofATl3XFwMjAU9gzuXVwLG6rrf/B+9bkv5zMlKymPz+TFZN3yg2fakKitkkij/XdP7oBgOYLnf/GA2oFhNOXcfgbgKDgubS8AiwEuJr5VxCKlv2nMHDaqZF4zK0bl6eUlEFbljhvXj5Xr4c/Ru1qhVj2KAOnDxxgT4vTCUhIZXq1YoRcyiBjb8dIjwigPOnEknMteNuVMlJzsLNbMCWawOzEZxOnE7AKTZ7obnQNV0kLro08Ts6ddpUpfugx4mIDnsgn7V0o4ACvjw/tDM9B3fi8NaT/D57CxsW7GDdvG0YTQaKlQ+ndPVIoqtHEl0jEqfDxf4NR9i/4Sj7NxzlUkIq/iE+dJSh0JIkSdJDTNfhzTdh9myxYn39erFafdI4J51Mi8n+bDRrLv0BM8Tx6TVb0HXHQAo3bM64PippaWKEzM0NevS49TWufdRq1gzq1xebwA4ehCFDYPVqMR7m6wsbNkDQ7aMZJUmS7pm/3A72T5GbKSRJyM3KY8nkNfw0fAEOu0sUgIyG/M4fo1F0/KiqKP6YDOhGMfrlUsDN240cmwODxYhPoAeX0rLRdQgO8qJOjUjq1IykYrlwTCbDDdfWdZ3Fy/by1dhV1KxWjA/easPsmduYOX0LAQGehPh5cmTvOUIK+pCTkkVORi4eVjNZydmYzQYc2XmYLUbs2TZUdDSnC93lQkFHd14u+lzO+7G4mWj1XEM69GsmO3/+JZwOJ3vXHWHf+iMc3X6KY7tPY8uxX3eMf4gP5euVony9aGq2rkhAQb8HdLfSw0huB3s4yWcw6VH2++/Qu7foAjp2DJ5rk8jYipOJWjuBMF2MfGXiySy3nswIeJneX5YkIwP6988/h8UCDRvCvHliW9ifvf8+xMbCtGn5AdOjRsHSpSKHSJIk6Z92t9vBJEn6B8QcOsf4t39h/6bj4l+MVFU8SVzt/Lmc92MQRR/Mhsv/raKbVAwWI5qmYfA04+5lJivHhq4qdHuyFvXrRlGiWPANHT/XOn7qIuMm/86e/bHUqFqUJrWj6P38VBITMyheNIiEU0lkxKfj7+NGYkwSnh4W9DwnNocLxelEUXRwunC4XOB04nKJzV6605Wf+aNpeAd40nlgK1r3bIinr8d9/ISlu2U0GanatBxVm5YDRFEo5lAcR7efQlEVytcrReGogrf935kkSZIkPUzmzoU+vXV8D2+hxrhxHMyYg7pG/APHSaUEC8P68+zvz/FCpDdltkDnziK3JzNT5PukpIiunmrVru/2udZ770HLlmKrWIsWYiPYgQOi+0eSJOlBk51AknSfndp/lgnvTGf/puP5xZ7LWT/Kla4fgwFMV/J+jGhGUfxRLQacgGpW8Q70JCU9F13XqV6lKK2blyOskB86ULLorTc8OV0aP07fxE8zt+Dt5U6rJmU5sjeWQ4fiCQr0Ii8tl5yMPLy9LGReysTqbiY3LQeDoqDZHRgNCs5cO6oKmt0pBtx1Dd3pApTLW780vP09eG7IEzTvXg+jSdabJelRJDuBHk7yGUz6t8vIAJdLZDT/LVlZzGj7C42Pjyfk/D7xmqpC27a8e64/Y4425Vy8et15v/tOBDovXPj3LuVywYoVsHs3RETAE0+A1fo371eSJOl/JDuBJOkhcGzXab4bMoe964+iGFSR93Nlzfu1Yc/myyNflwtBmlEFiwEXYPZxw+VyYXdqaAaFilUj8PB2Iz4xnaETVuBwugBoUS+a13o2wtvT/bp7SEzK4MPPf+XAoTga1yuFSdOZN30LHh4WAr2tJMem4u1lQbE5cOgaqsOFzZaD4nCK7h6HE9flzB9Nvxz2fE3gs65puHlY6PpOex7r2+y2YcKSJEmSJEl/x7lz0K8frFsnunAqVYJx46BMmb/4xoMHYcIEmDaNLpmZAGgBgagv9IK+fdmVXITxjaFg2I2FpfLlYfTov3+vBgO0aSN+SZIkPUxkEUiS/kFOh5O9648wd9Qy9qy7SfHncvaPbjCgmy4XgAwGdJMY+dKNKppRxWQ14XC4wKRSNDKQlOxcLiRnknj0HH4+VkpEBPFkq0pERgQTez6FaQu3s+tgLF+825GoIsG4XBqr/zjC6IlrcLpctGpUhk2/H8FmcxJWwI+EU0ngbsLgcGBLc2FwunDYHCLgWdPAqaHr2uV176LYg0u73AWko2sa7p4WHuvTlM4DW8uxL0mSJEmS7hldF+vWu3YV41lz5ojIxO++E6HLhw+LgOXr5OaKAydOhM2b889Vty4z/frx7vZOdMi1kDYEliyBSZNE7s/JkxAZmX+a5cvFendJkqT/ClkEkqR7zOXS2LZsD8u+/4M9647gdGqi+ONmua74c3XLl0l8rZku5/2YDWiqgmox4FJB0yGiSABGq4mjMRdJi02kcunCdH+8BnWrFCfI3/Pqte0OJ/NW7sXdYuJSajZn41PISM1hzKS1xJy9RMEQH8hxsmrpPgL8PLCn5pJ4JhmjpmFLy0HVNFwOBzhdoLnAqYmQZ4cY+9JdLnFDmoai6GgujSKlQ+k0oBUNOtWQnT+SJEmSJN1T589D27Zw6ZJYrT5zJmRliaJNnz4i6Hn6dHjppcvfcPAgTJkiUplTU8VrXl5iV3vfvijlytEFKHcQli2DqCj4/HMICYGEBGjXDkaOhJIlxQjY6NGwceOD+uklSZLuPVkEkqR7aPfaQ3zZbzKXzqeLoGeDimK5HPZ8zZYv3Wy8POplBLMBzaCIzh+DgsFqwuXUMHmZCQz25GJqFscvJOPnY6Xr/7N33mFWlHf7/zzTztm+LL2D9Gro0hF7RyygMdao0egvMc3ExBSjUdM0xsTXvNHXWGKiRLEDFhQBARFp0qT3srCw7bSZ5/n98Z3dBVs0UUB9Ptc1156dMzNnzhyR4T73975PH8Tpx/ShdfP3ft0Fe/bWcP1vn+Kdd7cx5MgOTDipP1OmLGb66yspK82nRUkBO9ftprQ4Dy807NtWias1UTqHow0qF8pXbWEIYezyiSJMXd5PLP5gDCaKaNejFZf+4lyGnPQVGwxssVgsFovlM+GKK+Ckk6RCfflyGc/6xS/EAXTXXTIStmVlNdz3TxF/5sxp2HnQIFGKJk6EggNdyr17y7I/110HLVvCbbeJIDRsmDiQunb97N+nxWKxHCxsMLTF8imw+d3t/ObK/2XF/LWoDwh6xvMwnhe3fHno2PFjYgHITXpkjcF4UNS4gMp0Bq0NTRoVMnLgEfTq1preXVrQtnmjDxRc3l2/kx/8ejJ7q1Lc8I3j2b29igcemUUYaZoW57NjUwVFBQkylRl0NsLDEKWyOFpGvMhFYPSB4k8UyeM68SceA+t/TG/GX3MCA47pjVPXe2qxWCwfgA2GPjyx92CWTxutpS79iSckq+ecc2DcuA9vz/q47N4NnTqJG2jmTDjK2bxFAAAgAElEQVT9dGnm6tsX/v6I4cj0XC4x9zMu/Sh+ulp2KiqSubHLL4f+/f/7N2exWCyfQ2wwtMXyGZCuzfDq43P5191T2LRqOzj75f14Xiz8xCNfnoPxPRF+PBcTOESeg5v0iLTGLwlwHcjkQoI8j/OO7cOYwV3Ym07z//44GeYtBcB1HKb+5nIaFUm9RE1thklTF/Lgk3MpLEhw2bijeOjB2WzYtJuWTYvZvXkve2srCTSkymvwlcKkM5godv6EUYP7J874MVEklRbGgJa8H89zOeGi0Yy/5kTadGlxKC+7xWKxWCyWwwhj4NJLpQL9m98UQegXv5BmrHvv/e+OnUpBEEAyCQsXQnExqF07aT/pIV7acT899LKGjYcNE+HnnHPe5/qxWCwWSwNWBLJYPgHZTI750xYz+Z4XWfzGKoxRKM+FZEJEIM8TscevE4BctOtiEtLyVRf4rF0FviK/LI9UTZoUmhH9OvGV3m2JPEO/zq3p0b45KzbuPOD1W5QVkfA9wkgzacrbPPDEHCqr03Tv0Izs3gz/e99rFBUkCCJD+cY9uAbCqpCEq8ils2htUFkReVwMOpf7YPEnbvoqaVzIhO+eyokXjqKgxPaaWiwWi8ViEbZuhSefhHffhVdegRUrGirQJ06Enj3h7bdlXOuTsnIl3HMPrFsnbqKH7stS9fDzPB7+jaFvP4tPCMAu1ZTHkxcy4r5L6Hvev6sIs1gsFgtYEchi+VikqtM8/Ksneerel8nlIhn58nyU58UV746Me8UCkA5EADKeg/ZlkaYvRVAUkItCtAG3wOfIbs3IKcPr6zcybeUaABK+x5++PZ5+XVoz/95vs2FHBcnAp0VZEcvXbOf2v7zIqvU76dKuKaWOz5ol2yguTBJE4vjxDOhUiAuQyRFpXS/+KC3jX9pIw1e9+BOPfRmtKSzJ52s3jOPky44mSPiH9NpbLBaLxWI5vHjkEbj2WjjjDHEAlZdLVfv3vifPFxbCWWfBtGmfXASaPh3OPReuvsrwrdGLuGzJAwy9/BGaUg5AhMP0wlMZcPelhEefyrUdfaY2/ZTfoMVisXyBsSKQxfIRRJFm6kMz+MuP/kGqJoOqG/naP+g5Fn/wXbTvYRJS9649hQlcIg9IuBhPEWHIL/FpXlrMjspqtmZq2La2hq5tmnL68F58pXMrOrZozPX3Psu3/jiZe797Nj3aN6dDizJqUlnufGA6k6a8TXFhknalxax7ZzulRUmSBmp2VuOjICWjXU4uQocRKpSMHxVKw1fdCFiD+KPrx74KS/I559snM+6q40gWJA715bdYLBaLxXKYsWMHXHMNzJolbp+77pK8nt/9Dk44Afr0ke22bYMePT7ZsY2BW765lemn/p3ekx8UhSlmmdOLh5yLaXP9V7nohy0pKID/u0uq4det+xTfoMVisXzBsSKQxfIeojDilX++wZN/nsba5VswmoaKd99HxfXuxnPjnJ8694+DDkTswXcJPXDzPUKt8fM9GjUrYGtFFeVhBjcKOOWoHgzr3ZEBXdtQlN8guKSzIccN7Mpfn5vLTX97kb9+7xz+NW0h/3juLfZVpWjbuITt6yuIApd8FNU7qgmUwo3FHzeMIBuioljwqRN6wv3CniMNRmMijes6DD21HyddMoZ+Y3rieu4hvPoWi8VisVgOZ55+Wtq6evaU3ydOlAygE06Axx8XEeiVV+Cll8Qd9LGorobJk8nd9xBTl7+Eu1zL+rIyOO88Nhx9McMuHUCPnooVf4JpS2D9esjlpOGrpOSzeKcWi8XyxcSKQBZLzM7Nu3nij1N49v7XZOTLc8H1UAmvPusH30O7rtS6ey4m4aF9hfZF/NG+A4GMfUWOIa9xkpzOUZOLSEYRl5w0mBMGd6NTq8Yf2PL1xjsbuPmhF9m+p4rubZvSpWljxl/zv1TVZCgrzMOpjthVsxcvMuQq0viI+KM/TPyJ4qavOhdQ3chXFNGoWTFf+/GZjD13KHmFyUNwxS0Wi8VisRyOrFkDt94qbp8WLSTw+eyz5TmtwdvvXxDNmsHf/w7jx0OjRjB1KmzaBI89JhrOh5LLybzYI4/AU09BbS0BkCEgOvVUgq9fKGpTELD+NWjVGlavlhyi3bulMr6mBi66CE455bO8GhaLxfLFwopAli89i19fwSO/fopFry0HxwXPRSUTKMepb/gygY8JPLQvWT+R52ASdT+VtH8FDpFjCAp9lK/I5UIySnP8oG6cNLg7/bu2wf8Ql01VbZo7Hp/BU7PeoW2zUk46sgtvzFvDuqU7aFpcQG1NLelULX7WQC6LigxuJsKEGieM4qYvjaob8YoFoA8Sf5q1KeOin57F0eccZV0/FovFYrFYDmDdOhgxAq66Cr79bQl+/tGPRNi57jo47TT5fe1aOOII2ad/fxGAfvIT6NZN9vc/KFJQa1GWHn1UbEPl5Q3PjRgBX/0q1716LrmiMv58shxj3z644Qa4+moZ/TrzTBg8WASgNWuklt6WgVksFsvHRxljDskLDxw40MyfP/+QvLbFksuGLJu7mgdvfoKls1dJuLPnNmT97Bf0TMKTrJ/AlYwfPxZ8fCVCkGtw8z1M4JAJQ7yEQ/OWJTRuVIDrOeyuqWVXZQ37atN0btGY30w8ic4tmgBgjOHVhWv49aPTKd9Xw7Du7Vm2eDO1qSzNS4so37IXHwedDnFCafZyIg3ZCBVFqJyEPKvoPc6fDwh7btmxKZfddC7DTx+A4ziH+BOwWCxfBpRSbxljBh7q87AciL0Hs3wU11wj41W33NKwbs0aGDIENm6UBrC//AV+/GMZBUskxAl0+eUyFvY+jJGasEcfhX/8AzZvbniuRw+44AI4/3zo0AEQ0ef886USvlcvmD9fNrnzTnAcqKyU8OhEAsaOlQp5i8VisRzIR92DWSeQ5UtDTWWKf/z2GV6dNJddWyswSL27KsgX8SfO+dGeC4Ev+T6BK81egUvkOpiEg/YVUaDQvsIv9MmFIW7CoXPHplREadaWV1BbuZdqk6NJcQGtGxWTH/gs3LCNVdvK+Z9X5nHruScw9c2VPDh1Pmu27qZJcQHN3SRvzllLaUESrzpib/U+3KyGXIib1XiRwWRyUBf2nAsbxJ8wwmh9oBBkDH7gMvT0AZx62Vj6juz+gSNoFovFYrFYvthUV8OUKTKBdfzx0Ljxh287bx784Q8HruvUScbCVq+Gvn3hiivEjfOTn8CGDZIHdMEF++1gDGbRYjb85jHyn3uMZvtWNzzXrp2oR+edB0ceKR3w+1FSAs89J5Xz69fL67Vq1fB8cbG0klksFovlP8OKQJYvPDs37+ahXz3JS4++gUZJvXtCxr2U72F8X7J+PFfGvRIeUeBg/IZxL2n6coh8cPI8cmhQ0L1DE8qaFrBo63be2rGNtmUlfP+UUYwb2IvS/CRaGx6cuYA7p8yicWE+l4wagK7RnH7D/ezcW01ZQR6FkUvlpioKAx83FZGuTaEyGhVqnKzGDTVkQ0wYO3/C2PkT5/4c0PIVieunuFE+X/3ROE6+ZAxB0n5FZrFYLBbLl5UXXhCBZvBgcc9cfTXccQdcfPEHb9+2LbzzDgwd2rCuqgq2bBEhCKQh7JxzYOBA+OEPZfthQw3P3rqEIZsmYR57DLVyJR3i/asLmjFJncP2MeexKH8o615z6F8F3/kOdO78wefRvbssFovFYvl0sSKQ5QvLmiUbeeTWycx+9m1w3Xq3T93ol/E9tO/LuJcXu34Chyhw0bHjx/gi/KikS84xRB40KktSVhSws7qGt3Zvh90wrEt7fjb+WEZ264Abj1rt2FfNDY9NYc7qTYzu3pEjCkp54Il5VKcytG5UTGHoUL21hnzXRddE6FqDl4pQUYiX1TL6lYtix49uEH9yYX2+z3vFnxbtm3DGVcdx8iVjSObbineLxWKxWL7M7N0rAtCzzzaIOsuWwbBhsGcPnHUWtG9/4D7XXiv79O0rwlFFhQRDn3aahEAD3HYbnHgi/PEuI3NbyyZxQ3IShVesAkABe5zGFF54FsHXJlA4ejTqYZcbLoGf/Qyu/ZYESA8fDq+++smr5C0Wi8Xyn2NFIMsXBq01G1dsZd7URUx/fA5r39mMcj1IJsB1pdrdk3wf6qrdEx7ac9AJyfrRCUeEoEQs/LgG7UCixEM7mlwUsSuspUsin9O69qB/h9YM6NialqVF9edRk8ny9ILl3DV1Ftkw4rxBfVmwaBNzd6yjc4vGlFdFlK/fS0I5+DURRkd4mQjCEDcrbh+nrumrLuw5lPp3U/c4Dns2WuO5DiPPHsy4q46j24Aj7MiXxWKxWCwWACZPhjFjGgSg1aslWDmRgPvvl9yfSy+FX/+6YSprzBj5/eyz5Xajqkoe33VXfFCt2Tl5Dr8f+QR0ekKSpIFCYLdqQmLimUzibNa0O5pf3ibp0MbAr34lZV9lZSJCDRsGRUXwy19KppDFYrFYDg5WBLJ8rtFaM+vpt/i/X0xi6/pyjEHGvTwPVVgowo/ryriX70rAc8Krz/nRvhLRx3eIkpLzQ+AQYcgv9UkUeJTX1uL5cFKfbhzfpwv9O7SiOO/ASnVjDEs2bWfSvKU8v2glqWyO1iXFOOmIJ6ctpiDwKcg6bFq5C98o3FqpbXezGpXTuDnJ+HFiAchk35P38x7XD1rTsU9bTrv8GMZOGGpdPxaLxWKxWN5Hba1k7IAIMeedJ8HPu3dDOg3XXw+jR8OgQXDuuQ37nX8+TJggjWBlZVCczIplZ/JkmDyZR7Ztg/XxcZs3R40fT/rUs+kycRTv/tFj672wb3vD8crLYdcu+MpXIC+vYf348fuJSxaLxWI5KFgRyPK5JJvJ8eJDr/PAzU9QubdWHD9xs5fyXMn5CXy052B8D+O76MCtd/yYhEPkKXRCxS1fisgFN8+lsCTBnlSKCpOlc1ERVx1/FKf170FB4v3ZOplcyKQ3lzJp7hJWbS8n6Xu0Lylhy6a9lFdUUpII8Go0UWUWJzR46QiV0/g5jcponFCjclLxrmL3D1Ek41+RCEX1Yc9GnD+Dju3D12+ZQIeebQ7BlbdYLBaLxfJ54aST4Kc/he3bZaxrxw646CKpdH/gAal1/+EP4aGHDhSBANyaSjrMmyLCz3PPSS1XTHlhe/6eGs9kZzzL9VC+2cpl33QYNVZCpydOlFGyq6+WXJ+iIshmZQTsz39ueI3VqxtyhiwWi8VycLAikOVzRW1Viif+NI1Jdz5PKpUT0SeRkJwfN875CXwI4lr3xIE5P1HgoBPi+DEJRc4DkgoSipzWGBXRpCTgKx0b06JRISM6tad706YEnvu+c9m4ey/fefg5lm/dSbeWTRnVsT2L39nCxl27yVceqkqjq7P4tRo3Z1A5jZOTsGeVjUe+cmFD01c88lUf9qx1feuXAvqO6s4Vt0yk85Ht33cuFovFYrFYLO+lY0f49rclwPnUU0WIGTwYjjtO8nhAhKCamniHDRvgmWfg6afF+ZPLNRysTx8YN45ZTc5gwu39GXycYtFrcGRvuPlmyQuaP182PeII+P3vZQxt9Gg5TBhKzpAvE2Js2gTf/z5cd93BuhoWi8ViAVDGmEPywgMHDjTz6/6msFg+hPKte1gyaxXzXnibpXPXUL5tL1qpONy5odbdBHHDV+BK1k+d8BPEwk9SEQUOJBxyrsEkgTyHnNYU5yU4umcnllbvYnn5Lur+RDhKoeM/H77j8NV+R/KTY8awflcFk95cwuNzloCCYW3aMn/xRmozOfKVS64yR6AVJhXihqCyESobu34yEU4YQk6yf+rzfsL9hJ9IhB8H6D7gCE68ZBRDT+5PcVnhofoYLBaL5T9CKfWWMWbgoT4Py4HYe7AvB1rD7bfDnXdKRbzjiAj061/D//t/kgFkwogfHTOPcd6zHFX+LCxe3HAAx5HgnjPPlE72Tp0AOOYYuPJKcQ5t3AhvvSX9G5deClu3QrCfcXrPHnH/eJ5kDV1/PTz5pDSQbd4M3/0u3HDD+1riLRaLxfJf8lH3YFYEshx2pGszTHv4df7+66epKK9GKQfinB88V75Ccl2MH2f9BCL+6PqMHxcdKKJAifvHBx0otA95RQFVYRbXUQzq2pZmTYsoT9fSpUljkr7HI28vZndtLYHrko2i+nPq3LiMEW3asXp9OW+u3YyjFGVBkqqdKRwNXqSgNsLLGVQmdv7Ejh/J+4lwsjkZ+cpF9a6fA8a9tDR8dTmyHeOvOYFhpw2wWT8Wi+VzjRWBDk/sPdiXg9tvhyeekFGvrl3FpXPaaeBXV3Db2GkM3PEczRa8QGmuvGGnwkKp/Tr9dJkla9Lkfcdt315MQh07Hri+WTPRkP7deNeuXVI337mzvJzFYrFYPn0+6h7MjoNZDhvWLN7AE3dPZfqkeUTaoDwXlUyC44jjx/fE8ZOIs35i4ScKXHTSIfJVPOrlEAUQJRQ6ACfhkDUaPGjUJEFpQQHba2t4bddG2AVNCvKZvnYdfzjtZGZdfTnzNm3mhRWrKAgCWhUXkTQuj89ewqOvLKQoEVAUeWSrQrJOFq9W42bByWrcrMGJc36c3H4V7xkZ9ZKa9zDO+qlr+TL1de+9jurMN3/3NTr1teNeFovFYrFY/nO0hjvuELGmaxcDby9k4LQXWFb2PMXb38B9Wtdvm2l9BInxp8App4hdJ/HRX0D17QuvvAKXXdawbskS+Y7uAzSj99G0qSwWi8ViOTRYEchySNFas2rBOv7n+r+zfN6aeMzLRQUS8Fyf8+P7mITUuut68cdBJx3ChEInHXSgCAPQ8RIG4Cdd/AKfVC5DZAybc1V0UKWc2qMbQ9q2YXDbNjQuyGfCI//kpy++zIA2rRnWvh1HtW3L9OVruOeluSzfupPCICCRUuQqsgTGwa8VscfN6FgA2i/oORvhRPuJP6E0fNWNeR1Q924MXft34JrfX0i3AUcc6o/DYrFYLBbLf0kYwtq1EpDcuPF/dowogmnTYNYsydM54QTRZxzn4+1fs3E3J1S8SLfbpsg81nap6moE5PCYmxzNwpYns7X/qTzwRjeOrVTcd6yMdf07brhBpsMSCTmvRYukcezHPxbTtsVisVgOb+z/qi0HlX3lVUx9aAYznpjHlnW7SNVkMMoR109xodx91Ll+fBF9osCT2vZ43CtKuJLxEzd7RQmFCYCkIusY/EKXKDCEWuN5is7NGtOvdUv6tWpF/1YtaVyQX38+2SjitbXrSHoe+9IZ7p45hxZuPk8vWM6WikryPZ+gBsKKLF7W4KUNTi7Cy4r44+S0uH9yEU62LuhZRB+VyzWIPXHej4kiAt+j14gujJ0wjIHH9aGseemh+0AsFovFYrF8ajzyiOTeBIHk4ZxyCtxzDxQXf/xj7N4t4srmzbB3L+TnS416+/YwZQp06PABO+VyMGeOKEfTplH45pv8zRj4W/x8q1Zw8sm8VnAyX73/GH50azHf/KY89eOUBEXfdx9cccW/P7+hQ+Ff/4KbboJvfUvO6yc/gQsu+Pjv0WKxWCyHDpsJZPlMMcawccVWpj8+h1f++QY7N++Wr4kcRwQfz0W5Xr3oQ+CiPRediB0/CUfGu3yFTqo46Blx//hgAogccJOKvJIEFdk0getyUrcunNWnF4PatMZ/z9daxhgWbdvO5HeW89yKlVSk0hT4PkUE7NlRgzKQrzxyVSFeDpyMwcvIqJeblawfJxvJyFc6xAml4r0+6yce9TJ1WT9RBA6MPfsozv3OybTv3hplExAtFsuXAJsJdHhi78E+G2bMgPPPh6eegq98RZrVf/c7SCbh5Zc/fvjxFVfA+vVS5/7qq1BaKg1fs2eL+2bmTMAYWLkSXnoJXnwRpk+HqqqGgwQB27qM4v4tJzDsphPpNr4XL72s+M53ZNedOw90/Tz7LPz2t/J6FovFYvn8YzOBLAcdYwzzpi7inu8/wrb1uyTXx3MhmUTFAc9mv5wfnfDijB+HyI/r3BMOUVLq3MOEQicg8iFKgPYhyHPBV+SikByGdsUFXHvkUZzRqwclyeT7zkkbw0MLFvLQgoWsr9hLwnVpW1hCuCcksztHxgO/FtwMqDAkkdG4aSMhz2mNG2pUVuPmIshGOJlcg+tn/4av+qyfCAUc/7URXPrzcyhpUnTwPwiLxWKxWCwHhbvvhhtvhObNJTenqAh69YIHHhBnzzPP/Nu4HQAeewz69RN3TaNGsu4nP4HBbbcxRr/CpKKXGJ17iaaZzQfu2KMHHH+82HrGjKFlQQG9JsONv4XVt8CRR0pO0I03vn+sLD9fmsMsFovF8sXHikCWT40wF7J+2RbeemkJz973Cjs3V6BcB5VIiOPH86TO3ZMxL+N7mKQXV7nHwk/gEOUpwlgAihJgEhD6EAXg5jnk0BgMRY1ciosTRK5md7aGykQtU3avZNmC7bQtKuXYNp3p1kiSB9fvqeCW6a8xfc06+jRvzvDmbVm0agubdu4hqV0S1UCUIxGLPk6c9eNkDG4uwombvpzw/Vk/RtcFPUegI0ykcV2HsROH8vWbJlDa7BN4wC0Wi8VisXwu2boVuneHq66S+vSf/UzWz58P6TT85jci5oCMdf3mN7BqFfTpAz/6EYwcKc9FEdTWQjO/Ap58FV55hYJnX2ZdZrlskJMf5U5TqgYfS8fLjxXxp02b953TuHGy1KE13HyzOH9OO61h3Z/+JIVgFovFYvniY0Ugy39EFGk2rdjKW9OXMuf5haxetIFUTRbjuah41EuVFIEXj3n5Htpz6xu9dOz6kfEuJa6fQBHmEde7g/Fk3Msv8snpHAnPZVTHDhzbuRO9Wjbj9Cl/ozxTXX9O1WGWzTX7mB3/Pn/HFoYXd+TZ5StYumMnrlJ0SpayctkOHMDNQpACJxviZ4wIPlmDk4kasn6yMuqlsuEB9e4mCjHxqJeJxPHTumNTjjq5HyNOH0CXfh3wfPvHy2KxWCyWLwtDhsDjj8tI1T//KevWroVNm8Scc8cd0LKljIddfz38/veyz6uvwtlnw+P3VTJKvc5jbV+h07LpdD5zISCxDflArcpnbmIUo246FveE41if7s34sx3WXfTxAp1BHEB//SuMHy9Lly4ytgZw7bWf8gWxWCwWy2GJ/Veq5RNRW5Xikdue5ql7XySXjaTNy3HAc6GwAMd1xe3je+C76ISPDlyM7xD5IvroujGvwCGsq3L3kXGvAAjAS3pkdIjB0KlZCcM7taV1WTE709XMr97EqIIOTB93BdM2reKlTatZV7mH0Bi+0qQlRSrB+h37mPn2Jl43myj2AoJaBRnDDl2JnwIvA07a4GUNblrjZE3s/IlwsxEqE4r4k9sv5Dke96rL+jFRRJMWpXz95nMZNX4wrvcx78AsFovFYrEc9hgjVeizZ0OLFjBhQkPA84wZ8NBDUFMDJ50EEyfCddfBoEEyVrV0KWzYIGIPwMKFkgk0ebKUdT34IJx9fCUVz8zkvLdf5dSi1yg97S0g4qT49bP4LMwbyptFx/DPXWNZXjSY/3skwD1Vnh+IvNaOHZL7/HEZORIWL5bz37xZwp3HjZOKd4vFYrF88bHB0JaPRfXeGh68+Umeu/9VQq33E388GfOK3T4iALnopI9OuDLqlVAS7pyUMa8wT6EDyffRScn3MQmIPIPxDMk8l9LiJJETsTtbS2h0/Xm4SqGNYWKXI7l16In16zfv28fji5cyackydlRXk+d6mFpNVKtJGAed0rjZOOQ5a3BTseunLuA5q3GzEU42hKyIPyrO9zG5sL7dq078ad6uCd+4bSJDT+lvQ54tFovlQ7DB0Icn9h7s35PJiFNm/XqpQ1+1SgKZn3tOQp7//GcRTxo1gvvvh8JC+Pvf4fXX4etfF0GlZ0/Jaj7lFHEDNfUq+NnY17nr7BmcUvQaXaoW4NJwj5PDwx82GI4+muzwo3l0/VD++Uw+lZVyHj/6EfWNXiCt7z16yBhaXt5Bv0QWi8ViOYyxwdCWT0RNZYpNK7ewdPa7LJ61ktVLNrJnRyVGKZTniQDk7S/61IU611W6O0TJuM49TxEFIvxECQl1jpIi+hhfEbkaVaDxChyyRobcawkp9QN6NmpG19KmdCgqpV1RKe0KS8n3A0565v949N1FXNVrCJW1WZ5etoKHFiwk1JrGQR5+JehciJsFPwNOJiLIGtz6cS+Nm60b9dKobIiTi2LxJxTxJ5JsH+oCn7XGdRQderbispsm0H9sLyv+WCwWi8XyBeV//ke+/1m0SG55AB59FL72NRFdli1rcN989avQubNE8nTpIvk/lZXQKX8bFS+9Ts9Nr3PO7hl0zSxB/dnwXYAq0K6HGXIU6SGjuem1MTy4ehhbZhUCEAAXARddJa/xxBPwgx/A6NHQu7e4fy67DC65xApAFovFYvlkWBHIQvnWPbw+eT5TH5rBhpXb0dqA64jY47rge1BcjPLjRq/AwyQ8tOeI+OM56KSMe0VJJRk/gYpbvBRhUka9TAK0BwZD49IkiRKHzZl9eI7D8FbtGNGyAz3LmtO9tCklCWn32pdN8+aOzbyyeQ1zdmxi2Z4dGCDpeHz1n4+zraIGBSQjF1UJNTqNnwI/jYg+GYObiZ0+GY2biUT8yUYy6pWLhZ8wwoRhfcaPiSI81+GI3q0ZftoAjjqpH+26t8J5b52GxWKxWCyWw5ZJk6S1a9s2GDoUbrgBunb9ePvdeGODALRxo7h8Vq2SkbCXX5YWsIICeS6TNlw2eg1/OGcm4fTX2fXEDFo+tVp23hIfNAhgyBD+snI0k3aO4p4Fw+jUt4A1S2HyC1CpZYSsffv3n8/48VLrftxx4jKqrISLLoLbbvtULpPFYrFYvkRYEehLypbV23niT1OZ/cwC9uysbKhwDwKUIwKQ8eMxr0BCnYkFnyjhEiVdcfIEDlFC1Yc6R75Uues6wScwMu7laxoVJ8nL99gT1rIzrKKJKuBbRw7n/K5foVle4aScKMgAACAASURBVAHntztdy+8Xvs4/3l1EZAyB49IiUURZWMjefWnCnGJPlMJLScAzmYggC25KN4x71Yc7S9aPkwlFAArjka9IRCAThhit690/JWWFXH7LuYydMAzXtaKPxWKxWCyfR+66SwSg22+Hbt0kj2fkSJg1S5w7H4VSkgkEsGULDBsGF1wgte+eB5ddFHJiy0UMNzPpsmMmy7yZlD2/HZ6Xm+uWQDUFrGs5jPVtR3Lq7aNQRw3BJJL8rBWUdoehx8pr+D78+Mfw8MMyNvZBIhDAN74h7p/Nm6FpUxlBs1gsFovlk2JFoC8Z69/ZzF9v/CfzX1oCyhHxJxHE2T7i/DFuPNqV8DGB19Dk5TuESYcoT8KdwwBx/vgQ5sduH9+gEwYTGNwEEBgiNGCo9WtpVVRK/5I29ClrwQWdjyLPCw44v0wU8rcVb/HHxbNJhSFDGrejsiLLii3lbKWWhHHwa5w430fjZ2PHTxactMbLiOPHyRlUXO3uZEIJeo5Hu+pcPyYMG3J+tKasaRFX3jqRUWcNsY4fi8VisVgOMXv2iDPmiCOgpOST7ZtOwy9/KaHOXbrIup49JUj5t7+Vca+P4uyz4Xe/g7Fj4Q9/gAvOqOI4NZfWzkx67JrFCO8NkltrGnbIQq60Cf7RI2HECBg5kl7j+jH5WY+bvwE3fluEpNdfF5P12LFw551QUQFlZVBeLvXxPXt+9Hn5PnTs+MmuhcVisVgs+2NFoC8gUaTZtWk3qxasZeGMFSybu5rtm3aTSefQBhnzKiiQRi8nbvLyXLTvypiXH1e5+3GTV9AQ6hwlG9q8pM4ddNKgA4ObD1EiQsd1pu2LG9G8UZat4Yb6c9vHLhamYOEWeGjLMzw18mfkuUne3rWVV7es4Zl1y9laW0X7ZCnpfYZ527aR53h4tQonEws/GWKnj9S6e/VuHyPhzrn3jHtlQ9T+le5hhIlClDY0alpEzyGdOfb8YRx1sg15tlgsFovlUJPLSdPWww+LK2bjRnHB3HKLdFJ8HNasgcaNGwSgOk45Ba688sP327hR3DlXnrKZ9N9m8Y/ms7igeha9cgtx0RxTt2EIq+nE4sLhvFA9klnOSG7+a1fGnyX3EW+8AcqHvn3l8fTpsGIFnHuuuJCGDBE3z8SJ8PbbEvp87bUiCFksFovF8lliRaAvCNs37GLaIzOZ+rcZ7N6+T0KcXUe+boqDnFVhAuWJ04fAQ9ePeSkiX9w+UeBIm1fg1Of6SMZPHOjsg/FABwad0HgFCuNrNJriIMnJHXozqmUHBjRrQ9O8AtZUb+OSub//wHNu7jfjm689zVs7t5GJQhSKIPRwKj22Zmtxcgo/BSYbEqTBSxu8NLhpHbt/ooZRr7SIPiqbQ4UR5CJUmKtv9jJaYyJN4+YlDD+tP0efO5Qu/TrgB/aPgMVisVgshxO//KVk76xdK6LI9u2SifOHP4g49HFo0ULCk/ftO9BFtHQptGv3no3DkHefWMLk78+i845ZDMzNJqE38oP9N8El1WsgM/QIHlw7gu89OZwxE1vwhz/ANf3g/v7w459Ak6byGrfcAnfcIbdgAMccI0sdr78u25x6KjRpIgLQxRf/BxfLYrFYLJZPiK2I/xyzZc0OXnxkJi8/OoudWyoacn3i+nbluZj9WrzwPXH3+B46GY94BQ6Rr+JAZyd298iIV5SMnT6+wSQNxjfgG/w8hwwhYGieV8DRbToyvFU7Opc2om1BEwq9D66pSIU5Hl+9hL8ue5ON1XsBKHGTZGo12VqNk1U4GXH8uBnJ+nGy4KUk3Lnup5OLq92zEU46dvqEsetn/0r3KAJtMFHEEb3bcO0dF9FzyL8JAbBYLBbLp4atiD88OZzvwYwRh8ycOQfm9rz5Jpx/Prz77sc/1qWXSkX7PfeI0DJvHpx1Fjz8p32MTsyRWbFZszBz56Kqqw/Yd58qYY45ipp+I9jTYzg3TB6MV1LAxRdL1tA550g487/+JSJVp05SF9+hA7RtC9dcA8OHfyqXxGKxWCyWT4ytiP8Cka7JsGrBOh797dO8/coySS50Xcn1cV0RgRwX47to3xfHj1836uUSBa40eSX2C3TOV5Lvkye5PpFvMHni9FEJ0H5EEIT4XkRpnqIo6aCdDDmTJTK7mV27kdlxAUaRl8f57Y9mQrtReI58/VWequGhlW/z4MoFVGRSlHn5JCp9wjSktcFkIMg6uGkRftyMkcc5g5uOhZ9MhJuNc35yWhw/mf0r3XVDzk9c6a6M4Yg+bbnmjgvpOdiKPxaLxWKxHG6kUlK9Pns2tGwpFex790rujTES4jx5MoShVLN/Ev70J/j2twzHdFzHaG8Wg3KzWVw2i0bjljakPgMK2JZ/BC3PGs6LqeH84MlhLIp6YXDgbWhbDsUtJSD67ruhpgaef16cPHffLY6f44+XvJ7HHvt0r4/FYrFYLJ82VgQ6DNm9fS/vLlzP8jnvsmL+Wjau3MbeilqMNhjXQTkOuA6UloDriNvHczGeA4FH5EuTV+Q59W4fnYibvOrCnAOFDvbL9QkkzFklDU4BZIlwUPRu3IzSkhrWZ9bXn1/k+Ixs2pumyRKqcyl2ZvaxK7OXbak9VIUp7l3zPDtra3ByjZi1fQPzd25GG0OBTuBWeFSHIU5KEWSIc3xk1EtEII2bNjhZjZuVrB+VjXAzYUPGT6hl1KtO8Ik0xmiU1jRtWcqAY3oz/IyB9BzUiYKS/EP3QVosFovFYvlQKivh6KPF+XPmmeLyGT5cHEBPPQUzZ4oAdOmlMHeuGHx//Wv4QTyntWuXfBfWpMl+B81mJWRn1izyZs3i3tmzoXp7w/M1oD2fBWoAG1oPZ1eXYfx29jCKurTgvm/D6cPBy4OvdIETToC33pI6+OOPlzGyli1h5Upx/EyZIhGLv/qVtHv96U8H8+pZLBaLxfKfYUWgw4Ao0qx4cw0vPzqb15+aT2VFDThKxB7HkS7SZDJ2+TgS5OzHFe5xbbv26wQfV8a5EkrGvAIlYc6eQicbqtu1b9BJgwk0bkKhfR0HOhsGtWxMp8b57I0qWFW1gr2ZiCGNu5GJcizZt56MzvHSjrdJOj5pnat/H3lOknxK2VUdctdbSzDGIdAeplbhpjxyaYOfdfBS1I98eSkjGT9pg5fZL+Mnq1GZnIx65Q6sc5cqdxF/CoqTnHHN8Yw9dyhtura0wc4Wi8VisXxOuPNO6N5dAqDr/vo+8US48EL4+tfFrPPYYzIKNmcOPPmkOIX69YObboIlS6BU7+H8DrP5/rBZNFo2SzZOpw94nb1uY3Z1G07H84fhjBxOn0sG8vPbkpxzjjzf5lkZ7/re9+T3MBS3z3PPSUPY+vWwezcsXw433wy33ioZRfv2iTD0jW/ADTeIaGSxWCwWy+GOFYEOIasWrOPxO55n7pSFZDKhBDk7+412uW7s8IkFH99Fx6HOUcKR0a6Eg/EUUcIhTMTZPklF5MWZPnXjXfka40uujwoMyg8J/IjAi2hWmKAo6WJUjsqwmh1mN7sqFN2K2zCh3She3/UONWGaPw+8huowxfw977K5tpwN1eXsqY1YUb6X5bv3oo1DEo9srUZlHNyMgqwikXNwU4jTJ2Mk7yen8WoNTn2leyS17pmcVLpnY+EnlFYvE4ZSF6INRmuKSvO45Gdnc8KFo/B8+5+xxWKxWCyfN55/Hm6/XQSgzZth506pUU8m5eeqVXDjjdC7N7z2GvTsYbho5Dr+NW4m/9N/Fj1bzUQtXwZLkCVmV9MezDLD2NZxOEO/N5zK5l247XaFPw9+crw4oM8+u2H7U06Brl1lJK2oCKqr5VwKC6FPH3EqLV8uo2sXXijZP2++KYajXbtg8GBZZ7FYLBbL5wH7r+eDRM2+Wjau2MradzaxauF65k9bQvm2CpTjguugkon6TB/j1gk/PsZ36xdx+ThEyf3dPhLmHCZUfaZPfW17UmMSGgKD54fk52UoTEIQhEQ0OHhcN6RRsoxWec1pnd+EviUdObJRRwq9PLTRbE3tZvrOxezN1uApj3Q6yaRlm1lYvg2AAgKo8nHTDjqj8LMOTjYWfXLEuT4GLyOV7k7O4GQivGyEympUJsQJdVznnpNw50hj6sKdQ3H+lDQuZMDY3ow6azCDjutjxR+LxWKxWD7HFBTApk1w+ukiwLRqBdu2iZGnQwdo1zri9xcvliqtn8+EmTP53Ta592BmfJBEgh3tBvHg2uF4o0fQ87Kh3PqXxsydC5uebxgVGzoMevQQ4SaZbHAegTz+wQ9k2bpVhKABA6BNG8kmSqchP1/cSXVij1LQv//BulIWi8VisXx62H9Ff4oYY9ixoZzZzy3gjWcXsHXdLiorqslldVzZLoIPcXW7atQI40t9u/FknQ5cTJznYwKF8eP2roT81Im4tt2X2nYdN3hFgcEk4vaufEXohjiOpn2pT9Mixa5wD2DoUNicbkVt6FrUmi5FrWmb35RSvwClFNpoNtbuYmXlZu5fO41VVVt4t2oLqSgLwNen/5OFO3cTGk0CD7fKhZRDLgd+xsVNgZcGJwdercHNGbyUZPuoTPwzG+HkIlQ2QuVykvMTxkvs/NFRhDKGgqIkbTq15tjzhzPyjEGUNis+tB+wxWKxWCyW92GMjGu98IIIO+ed9wE17B/A174m1ejnnCNOoAQZ/nzJm+x4fAZXTHud4qWz4a7KA/YppzE7Og2n15UjYPhw0r0G0KdLgpMvEJHnhPPhlUXi5rn7bvj5z2U/34eTTpK2sJ07YcYMGDVKnsvl4K9/hZ/9TJq/Vq+WJrGVK+XWxHHEjfTb3366181isVgslkOBFYH+S3Zvq+C1SXOZ/fzbvLtgHelUrkHscRxwfShwcNy4pj0OcK4b8RLRx5Fcn0CcPTrhSHCzHws+AeL6SYDxIfIMJqkxQTzelTBoV+N5Eb4X0ao4oCAvZG+4Dw1kVSGntBrE5Z1OojQoqD/3UEe8W72VadvfYlHFOhbvXUdlWAuAi4tPHntrfWoyAemMz5bMbnQanKyHTim8ukavVEO+j5fVuKm6Ma8INy2jXioXScZPTsSfOncPdRk/YYTCMOL0AVx441m069bqEH2iFovFYrEcPiilTgT+ALjAX40xt73n+QTwIDAA2A1MMMasP1jnZwxcfTVMnSoV7hs2SGbPPffAued+9L5jh9QwrGY2XR+ewdrJM+hUPpdvmow8GY93rXc6srHtCJY2GsmDa0dwzDe78+JLijnflduspfPFQfTWWzKqBVLRXlICr7zSIAIBvPMOjBkD998vmT5nny1i1eOPi+vnkkvgssvgu9+VxrI9e6T6/frr5diO82lfPYvFYrFYDj7K7FeReTAZOHCgmT9//iF57f8WYwzL5rzLI7c9xYLpyzAQN3a5DS6f+LFxXQh8jCc17cR17Q2tXQ6R50h4cyCjXdLkBVECtA9R0mDyJNMHX+MkpLI9CELyA0N+wpAjU39+nnLpU9KBQY27MrhxNzoXtsRRzgHn/6/Ns7hvzVRqIglPbBKUQJTHuj0pqtOKXOjia48wbVBZhZN2cDIKJ1eX7QNO1uDVIsJPumHMSxq+IsiGOFEEdQJQGGLCCLQ+YMyrScsSTr5kDMecN5wW7Zse7I/TYrFYLJ8RSqm3jDEDD/V5fF5RSrnAKuA4YDPwJnCeMWbZfttcDfQ1xnxDKTURONMYM+Gjjvtp3oNNmQLf+Y44ZwoLZd3ixSK2rF8PxfubeKuqpPLr1VdhxgzMm/NRUXjA8UyfPmztNJJ7l43kpldGstNvzfPPi5PnlFNkVGvUKBFvvvtdGSc77zzJEHr5ZRnTqqiQcbIuXaRVTGtp7rrrLlixAoJA6t4fflgCn8eMkUBqK/JYLBaL5YvCR92DWSfQh6C1prK8mu0bd7Fu6SZWL9rA2ne2sGNTOfv21BBmIxF68pIHCEDi9vHQngQ4a8+pb/AysfATxU6fyFfopJI8n4TUtRtf6tqjPHH7qITBeBF5ySwlhTkSfohWEQCucmif34xuRRtJOsvf8w4WEEZt6FjwZxzlYIxhQ81OFu1dy6s7F/NWxWp6FHWgQDfmzW3lLKiqwUNjUklMWuFmFWQUQU4EH6lvNzLulTW4WYOT1ngZjcpp3GwEOYOTC3GyoQg/cauXqWv2qnusDUHCY/SEIZx1zYl07N324H/AFovFYrEc/gwGVhtj1gIopf4BnAEs22+bM4Cfx48nAXcrpZQ5SN/yPfkkXHllgwAE0LcvDBkC05+p5owms2D6dBF+5s+XL4HqcBze9gbS7mujaTxuFIwYgSor47ZrIb8r0BqaARdffOBrTp0qgdIXXSSiT+vWkuETRVKoWlkp4lNlJbRoIev79oVp00QAAtnn+us/22tjsVgsFsvhiBWBgHRNhjWLN7Bk1koWzljOmsUbqdqbwqjY4eM0OHxwHcgrQBW5GNcB38P4Iv5oz5EAZ6/O4aMwgYrHvOIg54D6MS8diNNHBwadZzC+RgXI4uYoyQ9pXuyQpgqNpmWyjAFlnSXTp7gNRxS0IOH6PLnxBtbXvP99VWQ389c1L7CmupyVVVvYl5ONXONTXVXM1C1VQDUqo3BSLiolbh83E494ZcFLG7x0PN6VNrjZCJWt+xlJk1cYu33CXEO+TxhhtGT7FBbn0aFve/qN6cmRI7vTsWcbCkryD+6HbLFYLBbL54/WwKb9ft8MDPmwbYwxoVJqH9AYKN9/I6XUFcAVAO0+TmDPx8RxJFMHgExGwoFefpnfvPEKPV+cC/s7fVwXjjoKRo+G0aNRw4cz79FizrwVfjoCOi2BSZPgmWfkMB9GYSH88peyAOzYARMmiPunfXtYtgx++lO47jrJGvI8EYMsFovFYrF8iUUgYwzvvLGKx+54njdfWoKOjFS0KyU3KXlJHKchxNm40tCF76FdB4I6scdF+44sXuzsCd4j+MQBzpFnMAnQCQ2+iD74Bi8RkvQjAj+iUZ5H4EekjAg2jfObMqLJSIY37UWvkva46v1e5TPb/YpQR8wuf4cp22axsGIt1ZEBFIo3cHWCyjSkMoVkMj4642KyDk5W4aQc3LTCqRN+cnG2T8bg1mrcjMHJatycRmUinEwOJysuH0L5WZ/tE4ZS4R5FlDYu5OKfT+T4r47E9dyD/OlaLBaLxWLZH2PMX4C/gIyDfVrHnTBBcnQu7zOHknFHS5UW0BswjgODBsHYsTJzNXy4zHPtx5VXwhFHSIbQjh0wYoQIQJ9EtGneXIxGK1bIMfr1axhDa9PmU3mbFovFYrF8YfjSiUAVO/bx/AOv8vS9L7G3vLre6aMCFVe0eyL8eB7Gice7Ag/tuw1jXX7DWJdOOHFVuyJMQhQoyfUJQPsy0qWTBhNoVELjJ3Lk+ZLpk5/QKDdL4IQknZB8N6R5MqBpIqBlXlN6FnejXUEH8r0yCrxGOKj3vZ911dt5ftubTNu2gIpcNUkngck2pqIqSzrrkgtdnJyDySpU1sFJKbysZPs4GWnzcjMmrnMX0cfNGJx0JMJPTuPkNCobxsHOMuJFpDFhiKkLdo40GEPTNo244pcTGHHmIBHRLBaLxWKx/KdsAfafmW4Tr/ugbTYrpTygBAmIPiiMGQMTJ0L/C3qyKhuyuaQPz6ePYfAPxzLgulGS0PxvOO44Wf5buneXxWKxWCwWy4fzhROBaqtSbFq1jaWzVrJk9iq2rtvJ3l1V1NRk0JHGqLi1y3FQRYXgubHTxwHPRbsN4c0mdvjUiz6+jHaFgdMQ3hwcWNWuEwYdN3epPINyQwryJM/H8bL151kWFNG72KVx8MHBjNU5mLf7ZebtdxvXo/g4OhWfz7J9G1leuYml+zawsXYnCoWvi9lVUUwq7ZOIfLIpF5UVl4+bVQ2CT9ZIoHPG4GaR9q5s3WJwwggnE1e4h5LloyINubChySvSGKNRkaa0SSFHjurG8FMH0nt4V8qal37WH7HFYrFYLF8W3gS6KKU6ImLPROD892zzNHAR8AZwNvDKwcoDquOWW+DCC4v5yxO78JuWMmE8lJUdzDOwWCwWi8Xycflci0DGGNYu2chLj85m5tNvsXv7XqJQg1Iy2uWKwIPjoIJkQ0W7u19Vu++iPWnrMp6D9hXGjyva68Kbg7iq3YuzfBJgPIh8g0loTKKhqt24Gt8LKUgampdArakEoGtRa0Y06UWPkrZ0KWxNWaKIvdltTNqwjKpw1799r9o4PLJhDRtSdwLgGJd01qMmVUBNKoHJuJBReCkXnVIkcg5OCvw0kuWTNnhZg5PSIgTFLV4qG8bjXbHgk2uobSeSJi8ThnieS9d+7ejWvxM9hnSiU592tOzYDNe1bh+LxWKxWD4L4oyfa4CpSEX8/caYd5RSNwHzjTFPA/cBDymlVgN7EKHooNOtG3T7kf0iyGKxWCyWw53PnQiUy4bMf3ExM56Yx5wXFlJbnYmzfOJq9qQvoo/nidDjxA4f38X4nox0uU69yyeqq2r3lbh7vLpxroaaduOL4KPzNAQG40lVu5eQmnbfjyhMQDLQB1S1N89vztjmQxnb/Eja5r+/+rw0aMnXuzxS//vW2p28tGMOs8rfZl11BWntAQoXl1zOoyajyGQ9shmfKONCzpH69loHN6NwsnGuTwhuyjSEOscuHzercdKh/J5raPCqC3U2YYPwU+f46dqvPWdefTwjxg0iSPgH4yO2WCwWi8USY4x5Hnj+Pet+ut/jNHDOwT4vi8VisVgsn08+FyJQuibD1rU7mPrwTKY9NIPaqnRcy+6gAl/En7qK9tjloz0PPMn0MYEnwc2JOMw5Fn2ipIx2RckG0ac+z6eusSuQ8GY3L0d+Mkfgh+QnDK6Xw1MhTRLVFHlZmiZ8Sn1FvhvhqjSGFEl3O45ZzRu7XmCBU4CjXIY1vYTGiYZWjqpcipm7ljJl+1ssrFiLwVCgiqmsacK+lCab8zA5tz7TR2UVKq0IcgqVBS8jmT5OxuBlwMkZ3ExdoHMkI17ZCCeMc32ycZtXGEl9eyjOHxPGrh+tSSQ9Tr7sGMZddRwtOrxfvLJYLBaLxWKxWCwWi8Xy+eOwEYEqduzjnbnvsnL+Wt5duIFNq7axd081UagxSom7x5HAZtWoRJw/3n5ZPp5b7/LBd4k8BxPEo12+E2f5KHH8JCH0FTqAKBmPdtWJPgmNShi0b3AcTXF+lrKikMiRtotSv4AuRa3pXNgSjylUh+sPeB+hkQUgq6vf9z63pzZSkriYlVWbWFG5mU21MgrmmQSV1flU1gSoyEengKxCZRwJbY5zfSTA2TQIP1mNkza4udjxk9OoXISTi1CZEBXqesFHGrzE7WNit4/jKEqbFNLlyPb0HdGd3sO60qVfBxvqbLFYLBaLxWKxWCwWyxeMQyYCRaFmxpPzeH3ym7z96nKqKmrEzaOoz/HBC1AJF+U68ViXh/Glqt3UZfp4iv/f3r3F2HVfdRz/rn05ZzwXe2xP3PiW2PUlk4tb2XUjOyhpGrfEitoEFNoE0YagwkMQPHBVRZGogBcE9AEJqS1QUSoBTXlARoDyQNMGKhLFUCVNg9OmIWmcOHXi29ie2efsy+Jh7zN2LrYPqs/ex3N+H2lrzswczSzvv894ec3/v1bRqsa0twKKsDrW1aquNuXo9hZkvaNdUTm1y9u9o12OxQVRK6Pdylk71Wa87ZzMTlDgbJvawJ1r38ee1bOsW7Yas3JK1xudm/jaS79JWiTk3n3bnzGyCZxJ5vOYE1043s04kixjLjuAecRCEpCk4yRJTLoQQycod/ucNeLUCBKIFiDsQJSc2+FTFoBywk6x2M/HqqNd1q1Gt2fV6PaiqAo/GZjx/g/tYN99e9m2cxNrrpkhbg1NHVBEREREREREBshqHiCxaEU043vGP1r286mmdRGG1TGvXuPm84509Xb6xGFV7Cl395Sj2q0c1R6VO3vy2Mq3VQPn8mhXgccOrYKgnRPHOa04Y6xVMNF28qDs5RNQMB0HbJlcwZbJq7l9zS3MrriOwMIL/lnSIqEocl48e5Rvvv4M3zz6HQ4vHMerke6RtznbMRa6Ad00Iu1E5J0QSw1Lz/X0sbTq6ZOWU7zKAlB1tCutCj9pgXXKCV5BNbWrPOJVFn/OL/x41dz5qvWr2Hf/Xu556MOa3iUiIrUxs/9y991NxyFvtnv3bj948J2nk4qIiMiV72I5WIPbQAwba5d9fYLexK6AIqwaOsfVqPYowFsReXW0q4jLok/eLid4ZWOU/X3aZQGoiKEYq8a0t52gDUQpE+MdlrVzlrUz3HIAVsbz7Jx+g2Vhm7Ggi9kCuS8sRtjJ4ZEjD/PIkXNRzy7fx/51v42ZcSZb4Lm5V3jq5A/4+o+eXhzX3vJJjp+aIulGZGmIZUHV06c83hUkEGVVI+dOWfDp7fApj3WVV9jJy+JPmmOpY2lG0K0aOec5lpWTu8jz8m1R4HmBubNm4yru/OSt3PHxvazdvKbmtRURERERERGRYdNcESgK8ZUrykJPWO3yWRzZXu3yiXu7fS48qr2IoYgdH3OKdkEwBnlUYFYwMxHwrmnntJ/EcTYsm+E905uZXb6BLZNreeH0V3jhzPcBKAD62BR1aO5RnjyxhkNzRzm88Mbix4t0jJNnJphP2lgaUSyAdQPCxAiqfj5RAmEXgq4TJUX1uCDoFNVOn4IwK6CbE/ZGtvd6+vTGtlcNnHtNnKMoYNWaKbbcuJEb9mxl9v1b2XzjBianJwazbiIiIiIiIiJyRWqsCORhQDYzWR7viq2c3BVXjZurok/Wm9pVHfNa7OezrMBbjsdO0AKPcqI4Y7yVs3YqptXKOJ2fLms64Tj3r7uNu9fvYf34zJtiuH75p3n+9H/w4tmDHJl/ljCICS0GIs5mKWezgrks4GiSc6zrzOctzmZtsvx7LHQCku54dbwrpkiCapdPgCUQp1Y2cU4g6nh5zKvbm9pVVMe8coK0gDQvR7Z3c6ybfSpqdQAACaJJREFUlk2c86I8ztUr/uRl0Wf91nfx4O/eyy137yKK1c9HRERERERERPrTXBEoCuiuapfNm8eC6m15tCuLIT9/VPtY2bzZWwVBuyBqnxvVPtl2UksAp2U5M2Mttkyu4prxVawZG2N26nrWjW9jMlr9thiioMXsijvYtvx2Ds29zBPHDvGtN57j0NxhnDYhIYG3Ob3gLHQD0iwk7UYUSQhZ2c/HkoCgw2Ij57ADYeYEiRN1nTBxwt7Urm752Lo5QTcjyMoCkGUZlvaOdZ2b3NUrBE1MjXHz/vey/4EP8N7bZhcbU4uIiIiIiIiI9KuxIlARGfNrIrIxI4+hWAZ5q9ztUywrj3YxVhZ+zAomJxJWThZ4mCx+jTXtaXasOM3y6Km3ff0zaXm9cPrNH//k5i+wur2J15IT/M/cyxyae5lvHH2a15ITGMYym+TsmUnm5gPSNCLIQooOZcHnnfr5pE7QpTzelYJVR7vC3vGuNIe0IMiKN03xIsuwqocPWVYWf7yAvMDMuWrtSu64by/77ruFjdetVeFHRERERERERH4szRWBWnBmg52b3tUuCz7xuJEFOWYFW1ZNcPVy40j6Kqln7FixmZ0rt7BjehPXLd/AiniCfz/6lxw89t99f9/PPfcw3zm1wKn0LACGUaRtjp2eIkliyEM8KQs+UWJYx4jT8lhX2IEw8fJ4V9cX+/mEaa+vT4GlBUGvn0+aV/18cijyxZ4+XhQE7rTHYqZWTbBpdjM79m7nxr3b2bh9LVOrJlT0EREREREREZHLqrnjYDF012ZEbSMLM+Iop93O2LC8TauVciqbo8txjqQhH756Fx+75la2TK5929e5dc0vsmvVvfxo4TnOZMeYz7q8PH+cl+Zf58Wzr/PKfMKZPKZTRBgBns9xJjG63Qk6aUyWRJAa1g0IEsMWjDAtd/oECUS9Ue3dgjCBIC37+ZQFoJwgzatjXRnWLXv4lE2ci8UR7Yvj2t259vp1PPCZn2bvR95HGAYN3HkRERERERERGUWNFYGCVsHMujOsGDdyS8jJMZzxVsLs8hnePbGe9eMTrBubZt34Vla1Zy74tY51Uv7p1dc4ePz7vDR/FIDYYiyf5tjZnKTq51N0o3JUexpAagSJEXeNIIOgU+32SatR7V0vj3Ul1Y6fbkGQlePag26Bdctiz/nTuzwriz6e51A4nudY1cz5gx/by098dBebb9pY1y0WEREREREREVnUWBEoDp3pqZTtU+uZXb6RrVNXcejkZ+nNaT+dwqFT5QWweeJmfuqaP3zb13F3fufpL/NacpydK7dy68x7+JODT9JNI7ZMrebkayexbkCUBdiCE6RG2KmKPqmX49o7TphSHunqOkFavc2qJs5peaTLsnyxkTNZUR3xKps4F3mO5QVhFDA5Pc7GbVdz58/dyt6P7NS4dhERERERERFpnLl7M9/Y7HXgpYs8ZQZ4o6Zw5OK0FsNB6zActA7DQ2sxHC62Dte6+1V1BiOX1kcONih6zdZD93nwdI/rofs8eLrH9WjiPl8wB2usCHQpZnbQ3Xc3HYdoLYaF1mE4aB2Gh9ZiOGgdpF/6u1IP3efB0z2uh+7z4Oke12PY7rM6E4uIiIiIiIiIjAAVgURERERERERERsAwF4G+2HQAskhrMRy0DsNB6zA8tBbDQesg/dLflXroPg+e7nE9dJ8HT/e4HkN1n4e2J5CIiIiIiIiIiFw+w7wTSERERERERERELhMVgURERERERERERkDjRSAz229mz5nZ82b26Xf4fNvMvlp9/gkz21R/lEtfH+vw62b2rJk9bWb/ZmbXNhHnKLjUWpz3vHvNzM1saMYNLiX9rIOZfbx6XXzXzP627hhHRR8/n64xs0fN7NvVz6i7mohzKTOzL5nZUTN75gKfNzP7s2qNnjazXXXHKMNDud3gKW+rh3KywVO+VQ/lUoN3ReVK7t7YBYTAD4B3Ay3gKeCGtzznl4HPV4/vB77aZMxL8epzHT4IjFePH9I6NLcW1fOmgMeAx4HdTce91K4+XxPbgG8DK6v31zQd91K8+lyLLwIPVY9vAF5sOu6ldgG3AbuAZy7w+buAfwUM2AM80XTMupq5lNsNzT1W3lbDfa6ep5xsgPdY+VZt91m51I9/n6+YXKnpnUA3A8+7+wvu3gX+HrjnLc+5B/hy9fgfgH1mZjXGOAouuQ7u/qi7z1fvPg5sqDnGUdHPawLgD4A/ApI6gxsh/azDLwF/7u4nANz9aM0xjop+1sKB5dXjFcCrNcY3Etz9MeD4RZ5yD/A3XnocmDaztfVEJ0NGud3gKW+rh3KywVO+VQ/lUjW4knKlpotA64GXz3v/cPWxd3yOu2fAKWB1LdGNjn7W4XyfoqxiyuV3ybWotg5udPd/rjOwEdPPa2I7sN3MvmVmj5vZ/tqiGy39rMVngU+Y2WHgX4BfrSc0Oc//998RWbqU2w2e8rZ6KCcbPOVb9VAuNRyGJleKmvimcuUys08Au4EPNB3LKDKzAPgc8GDDoUj583MbcDvlb1gfM7Md7n6y0ahG088Cf+3uf2pme4GvmNlN7l40HZiISJOUtw2OcrLaKN+qh3KpEdL0TqBXgI3nvb+h+tg7PsfMIsrtacdqiW509LMOmNmHgM8Ad7t7p6bYRs2l1mIKuAn4hpm9SHme9IAaEV52/bwmDgMH3D119/8FvkeZpMjl1c9afAp4GMDd/xMYA2ZqiU56+vp3REaCcrvBU95WD+Vkg6d8qx7KpYbD0ORKTReBngS2mdlmM2tRNgc88JbnHAB+vnr8M8DXveqsJJfNJdfBzHYCX6BMJHQWd3AuuhbufsrdZ9x9k7tvojznf7e7H2wm3CWrn59N/0j5WynMbIZyu/ILdQY5IvpZix8C+wDM7HrKxOX1WqOUA8AD1eSLPcApdz/SdFDSCOV2g6e8rR7KyQZP+VY9lEsNh6HJlRo9DubumZn9CvAIZdfyL7n7d83s94GD7n4A+CvK7WjPUzZaur+5iJemPtfhj4FJ4GtV78YfuvvdjQW9RPW5FjJgfa7DI8BPmtmzQA78lrvrN9mXWZ9r8RvAX5jZr1E2NnxQ/6G8vMzs7yiT8JmqX8DvATGAu3+esn/AXcDzwDzwC81EKk1Tbjd4ytvqoZxs8JRv1UO5VD2upFzJtLYiIiIiIiIiIktf08fBRERERERERESkBioCiYiIiIiIiIiMABWBRERERERERERGgIpAIiIiIiIiIiIjQEUgEREREREREZERoCKQiIiIiIiIiMgIUBFIRERERERERGQE/B/75kOGYypgigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x1080 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(x_train.min(), x_train.max(), 100)[:, None]\n",
    "y = np.linspace(y_train.min(), y_train.max(), 100)[:, None, None]\n",
    "coef, mean, std = model(x)\n",
    "\n",
    "plt.figure(figsize=(20, 15))\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.plot(x[:, 0], coef.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], coef.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], coef.value[:, 2], color=\"green\")\n",
    "plt.title(\"weights\")\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(x[:, 0], mean.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], mean.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], mean.value[:, 2], color=\"green\")\n",
    "plt.title(\"means\")\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "proba = gaussian_mixture_pdf(y, coef, mean, std).value\n",
    "levels_log = np.linspace(0, np.log(proba.max()), 21)\n",
    "levels = np.exp(levels_log)\n",
    "levels[0] = 0\n",
    "xx, yy = np.meshgrid(x.ravel(), y.ravel())\n",
    "plt.contour(xx, yy, proba.reshape(100, 100), levels)\n",
    "plt.xlim(x_train.min(), x_train.max())\n",
    "plt.ylim(y_train.min(), y_train.max())\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "argmax = np.argmax(coef.value, axis=1)\n",
    "for i in range(3):\n",
    "    indices = np.where(argmax == i)[0]\n",
    "    plt.plot(x[indices, 0], mean.value[(indices, np.zeros_like(indices) + i)], color=\"r\", linewidth=2)\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.7 Bayesian Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train, y_train = make_moons(n_samples=500, noise=0.2)\n",
    "y_train = y_train[:, None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Gaussian(nn.Network):\n",
    "\n",
    "    def __init__(self, shape):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.m = nn.zeros(shape)\n",
    "            self.s = nn.zeros(shape)\n",
    "\n",
    "    def __call__(self):\n",
    "        self.q = nn.Gaussian(self.m, nn.softplus(self.s) + 1e-8)\n",
    "        return self.q.draw()\n",
    "\n",
    "\n",
    "class BayesianNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output=1):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.qw1 = Gaussian((n_input, n_hidden))\n",
    "            self.qb1 = Gaussian(n_hidden)\n",
    "            self.qw2 = Gaussian((n_hidden, n_hidden))\n",
    "            self.qb2 = Gaussian(n_hidden)\n",
    "            self.qw3 = Gaussian((n_hidden, n_output))\n",
    "            self.qb3 = Gaussian(n_output)\n",
    "        self.posterior = [self.qw1, self.qb1, self.qw2, self.qb2, self.qw3, self.qb3]\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.qw1() + self.qb1())\n",
    "        h = nn.tanh(h @ self.qw2() + self.qb2())\n",
    "        return nn.Bernoulli(logit=h @ self.qw3() + self.qb3())\n",
    "    \n",
    "    def kl(self):\n",
    "        kl = 0\n",
    "        for pos in self.posterior:\n",
    "            kl += nn.loss.kl_divergence(pos.q, self.prior).mean()\n",
    "        return kl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = BayesianNetwork(2, 5, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(1, 2001, 1):\n",
    "    model.clear()\n",
    "    py = model(x_train)\n",
    "    elbo = py.log_pdf(y_train).mean(0).sum() - model.kl() / len(x_train)\n",
    "    optimizer.maximize(elbo)\n",
    "    if i % 100 == 0:\n",
    "        optimizer.learning_rate *= 0.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_grid = np.mgrid[-2:3:100j, -2:3:100j]\n",
    "x1, x2 = x_grid[0], x_grid[1]\n",
    "x_grid = x_grid.reshape(2, -1).T\n",
    "\n",
    "y = np.mean([model(x_grid).mean.value.reshape(100, 100) for _ in range(10)], axis=0)\n",
    "\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel(), s=5)\n",
    "plt.contourf(x1, x2, y, np.linspace(0, 1, 11), alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-2, 3)\n",
    "plt.ylim(-2, 3)\n",
    "plt.gca().set_aspect('equal', adjustable='box')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
